Abhik Sur , Soumik Das , Vipin Gupta , Wei Peng , Hijaz Ahmad , Taha Radwan
{"title":"Fractal geometry-based Klein-Gordon model for heat and mass transfer in a cylindrical cavity with variable thermal conductivity","authors":"Abhik Sur , Soumik Das , Vipin Gupta , Wei Peng , Hijaz Ahmad , Taha Radwan","doi":"10.1016/j.jppr.2026.02.007","DOIUrl":"10.1016/j.jppr.2026.02.007","url":null,"abstract":"<div><div>This study presents a generalized framework of vector calculus for non-integer dimensional spaces, motivated by the prevalence of fractals in nature. The work formulates first- and second-order differential operators, including gradient, divergence, and scalar and vector Laplacian, for scalar and rotationally covariant vector functions. This framework is applied to the thermoelastic response of an infinite fractal medium with a cylindrical cavity, a problem that incorporates thermoelastic mass diffusion and variable thermal conductivity through the Kirchhoff transformation. The system is analyzed under combined thermal and chemical shocks at the boundary, with the medium remaining mechanically fixed. The governing equations are solved using the Laplace transform method, and Zakian technique is employed for numerical inversion. The computational results indicate that parameters such as delay time and fractal dimension significantly influence the material's response. The graphical analysis visually examines the effects of different kernel functions, fractal dimension, variable thermal conductivity, nonlocal length and time scales on the thermoelastic response, providing a clear illustration of their impact. Specifically, an increase in fractal dimension leads to a more pronounced reduction in the thermoelastic response near the cylindrical cavity. Furthermore, an examination of different memory-dependent kernel functions reveals that nonlinear kernels demonstrate superior performance compared to linear kernels within this theoretical framework.</div></div>","PeriodicalId":51341,"journal":{"name":"Propulsion and Power Research","volume":"15 1","pages":"Pages 179-196"},"PeriodicalIF":5.4,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147661793","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Sensitivity analysis of couple-stress nanofluids under active control, zero mass flux and slip conditions: Effects of combined fluxes","authors":"Tadesse Lamesse, Wubshet Ibrahim","doi":"10.1016/j.jppr.2026.03.001","DOIUrl":"10.1016/j.jppr.2026.03.001","url":null,"abstract":"<div><div>The present study investigates the flow and heat transfer behavior of couple stress nanofluids under active control zero mass flux at the boundary mechanisms and sensitivity analysis of it. It focuses on three-dimensional couple stress nanofluid flow, incorporating non-Fourier thermal along with non-Fick mass flux models (combined fluxes) within a second-degree slip model framework. Its aim is to explore the influence of magnetohydrodynamic effects and velocity slip conditions on the heat and mass transfer characteristics of couple stress nanofluids. This work aims to deliver a holistic insight into the ways these factors alter fluid flow and heat transfer mechanisms. The initial set of coupled nonlinear partial differential equations is transformed into higher-order nonlinear ordinary differential equations using similarity transformation then solved by Galerkin finite element method. The numerical results are verified through grid independence tests, confirming consistency. The presence of couple-stress effects introduces higher-order momentum derivatives; however, the interaction between these microstructural effects and second-order slip boundary conditions remains largely unexplored. From a numerical standpoint, many previous investigations rely on traditional solution techniques that face limitations when dealing with strongly nonlinear, higher-order systems. In contrast, finite element method based sensitivity analyses for such coupled nonlinear models are notably limited in the existing literature. The findings reveal that velocity increases with the couple stress parameter, mixed convection, and buoyancy parameter, while it decreases with increasing magnetic. The velocity and temperature profiles decrease with lower first-order slip <span><math><mrow><mo>(</mo><mi>γ</mi><mo>)</mo></mrow></math></span> and temperature relaxation time <span><math><mrow><msub><mi>δ</mi><mi>e</mi></msub></mrow></math></span> whereas higher second-order slip <span><math><mrow><mo>(</mo><mi>δ</mi><mo>)</mo></mrow></math></span> and concentration relaxation time <span><math><mrow><msub><mi>δ</mi><mi>c</mi></msub></mrow></math></span> lead to increased velocity and concentration profiles. Moreover, 62.07% of the results show an increase in key metrics, while 37.93% show a decrease. Furthermore, the elevated values of the coefficient of determination, <span><math><mrow><msup><mi>R</mi><mn>2</mn></msup><mo>=</mo><mn>99.1</mn><mo>%</mo><mtext>,</mtext></mrow></math></span> and adjusted <span><math><mrow><msup><mi>R</mi><mn>2</mn></msup><mo>=</mo><mn>98.7</mn><mo>%</mo><mtext>,</mtext></mrow></math></span> highlight the model's excellent capability in accurately predicting the thermal characteristics of the system. Using sensitivity analysis <span><math><mrow><mi>N</mi><mi>t</mi></mrow></math></span> is the most influential factor with a strong positive sensitivity, indicating that increasing thermophoresis significantly enhances the sensitivity of <span><","PeriodicalId":51341,"journal":{"name":"Propulsion and Power Research","volume":"15 1","pages":"Pages 113-143"},"PeriodicalIF":5.4,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147661828","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Ahmed E. Abouelregal , Kareem Alanazi , Marin Marin
{"title":"Size-dependent thermoelastic diffusion in micro-scale cylinders: Influence of thermal and diffusive length scales with phase delay effects","authors":"Ahmed E. Abouelregal , Kareem Alanazi , Marin Marin","doi":"10.1016/j.jppr.2026.02.002","DOIUrl":"10.1016/j.jppr.2026.02.002","url":null,"abstract":"<div><div>This work presents the first comprehensive framework to simultaneously incorporate spatial nonlocality and temporal phase-lag effects for coupled heat and mass transport in a cylindrical configuration. The model introduces two distinct nonlocal length scales, for thermal conduction and mass diffusion, respectively, alongside dual relaxation times, overcoming the scale limitations of classical continuum theories. A dual-phase-lag thermoelastic diffusion model is derived by generalizing the Lord-Shulman theory through nonlocal reformulations of Fourier’s and Fick’s laws. This formulation ensures finite signal speeds and captures the size-dependent response essential at micro- and nanoscales. The theory is applied to an infinitely long solid cylinder subjected to a transient surface load: a Gaussian-modulated cosine thermal pulse and an exponentially decaying chemical potential. Under axisymmetric conditions, all field quantities depend only on radial position and time. The governing equations are solved analytically via the Laplace transform, with solutions in the transformed domain expressed using modified Bessel functions. Time-domain results are recovered through numerical inversion based on a Fourier-series expansion. Results demonstrate that nonlocal and phase-lag parameters significantly dampen mechanical fields (displacement and stress) while amplifying and smoothing thermal and diffusive fields (temperature and concentration). The interplay between thermal and diffusive nonlocalities produces synergistic damping and enhanced penetration depths, effects unattainable with local or single-phase-lag models. This advanced framework provides a critical predictive tool for the design and analysis of micro- and nano-scale systems, including MEMS, semiconductor devices, energy-storage media, and biomedical implants, where coupled thermo-diffusive-mechanical interactions dictate performance and reliability.</div></div>","PeriodicalId":51341,"journal":{"name":"Propulsion and Power Research","volume":"15 1","pages":"Pages 67-86"},"PeriodicalIF":5.4,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147661736","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Sensitivity analysis of the wire-coting process using a generalized Newtonian nanofluid with temperature-dependent properties","authors":"Ahmad Ayyad Alharbi , Ali Rashash Alzahrani","doi":"10.1016/j.jppr.2026.02.008","DOIUrl":"10.1016/j.jppr.2026.02.008","url":null,"abstract":"<div><div>In this work the Carreau-Yasuda nanofluid is used to coat the wire in pressure type die. The properties of the liquid are considered temperature dependent in this study. This study involves theoretical results and data is collected with suitable numerical scheme Runge-Kutta-Fehlberg method. This numerical data is further utilized to check the parametric sensitivity of coated thickness and heat transfer rate with Surface Methodology (RSM). In order to do this, we formulated Analysis of Variance (ANOVA) tables and establish correlations between our results and the input parameters. The wire-coated thickness (<em>R</em>) is more sensitive to variable thermal conductivity; the wire-coated thickness decreases with increasing the values of variable viscosity. The current analysis reveals that the heat transfer rate (<em>Nur)</em> is very less sensitive to thermophoretic effects at a low level as we input the higher value of the thermophoretic the depth of the heat transfer rate (<em>Nur)</em> starts reducing. It is observed that heat transfers rate (<em>Nur)</em> decreases 215.29% and 8.45% by increasing thermophoretic parameter (<em>Nt)</em> and Brownian motion (<em>Nb)</em> from 0 to 1 and <em>Nb</em> from 0.1 to 1 respectively. Increasing the values of variable viscosity parameter from 0 to 3, the radius of coated thickness, shear stress and heat transfer rate decreases 8.59%, 96.1% and 129.15% respectively.</div></div>","PeriodicalId":51341,"journal":{"name":"Propulsion and Power Research","volume":"15 1","pages":"Pages 197-216"},"PeriodicalIF":5.4,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147661740","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Advancing spectral collocation methods for MHD flow of hybrid nanofluids in porous channels: A Jeffery-Hamel case study","authors":"Ahmed A. Khidir","doi":"10.1016/j.jppr.2026.02.006","DOIUrl":"10.1016/j.jppr.2026.02.006","url":null,"abstract":"<div><div>An advanced spectral numerical framework is developed to investigate the magnetohydrodynamic (MHD) flow of a hybrid nanofluid in a porous Jeffery-Hamel channel. The governing nonlinear differential equations are solved using the Chebyshev spectral collocation method, ensuring high accuracy and rapid convergence. A comprehensive parametric study is conducted to quantify the effects of the Hartmann number, Reynolds number, porosity, and hybrid nanoparticle volume fractions on velocity distributions and flow characteristics. Results indicate that increasing the Hartmann number or porosity enhances fluid velocity in both converging and diverging channels, while higher nanoparticle concentrations accelerate flow in divergent channels but slightly reduce it in convergent channels. Additionally, flow reversal may occur in diverging channels at sufficiently high Reynolds numbers, whereas converging channels remain free of backflow. The numerical scheme demonstrates rapid convergence within a few iterations and excellent agreement with existing numerical benchmarks, confirming its reliability. The present findings have significant physical and engineering implications, including the optimization of heat transfer, fluid transport, and flow control in porous channels and microfluidic systems. The study provides insights for practical applications involving hybrid nanofluids under MHD conditions, such as advanced cooling technologies, energy systems, and porous media flows.</div></div>","PeriodicalId":51341,"journal":{"name":"Propulsion and Power Research","volume":"15 1","pages":"Pages 166-178"},"PeriodicalIF":5.4,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147661739","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Djamal Darfilal , Fatima Alhammadi , Abderrahim Nabi , Jeongmoo Huh , Khatir Mohamed , Elena Fantino , Abdul Hai , Sean Shan Min Swei
{"title":"Advancing green propulsion: Experimental analysis of dual-mode operation in a hydrogen peroxide monopropellant thruster","authors":"Djamal Darfilal , Fatima Alhammadi , Abderrahim Nabi , Jeongmoo Huh , Khatir Mohamed , Elena Fantino , Abdul Hai , Sean Shan Min Swei","doi":"10.1016/j.jppr.2026.01.002","DOIUrl":"10.1016/j.jppr.2026.01.002","url":null,"abstract":"<div><div>Hydrogen peroxide (HTP) is receiving renewed attention as a green monopropellant for small-satellite propulsion. This study presents the design and experimental evaluation of a hydrogen peroxide monopropellant thruster capable of operating in both steady-state and pulsed modes. A modular catalyst bed using silver screens was developed and instrumented to examine decomposition behavior at an HTP concentration of 87.5 wt%. The thruster was tested across a range of operating conditions to assess temperature evolution, pressure stability, and characteristic velocity performance. The results show consistent decomposition, stable operation in both modes, and characteristic velocity efficiencies close to theoretical predictions. Measured temperature profiles enabled the estimation of the decomposition zone, and an uncertainty analysis was conducted to quantify the reliability of the performance metrics. The findings demonstrate that dual-mode operation with silver-based catalysts is feasible within the tested duration and operating range, providing a validated basis for subsequent flight-model development.</div></div>","PeriodicalId":51341,"journal":{"name":"Propulsion and Power Research","volume":"15 1","pages":"Pages 16-31"},"PeriodicalIF":5.4,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147661737","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"AI-driven modeling and simulation for entropy optimized radiative Darcy-Forchheimer flow of micropolar tri-hybrid nanofluid at a stagnation point","authors":"Maher Jebali , Sohail Rehman , Fisal Asiri , Mohamed Bouzidi , Mohd Aamir Mumtaz","doi":"10.1016/j.jppr.2026.02.001","DOIUrl":"10.1016/j.jppr.2026.02.001","url":null,"abstract":"<div><div>The Levenberg-Marquardt (LM) backpropagated artificial neural network (ANN) approach can increase simulation speed and precision, enabling better heat transfer in the design and improvement of solar collectors. The aim of this study is to provide adequate mathematical model for optimized thermal transport and to identify entropy degradation mechanism in a boundary layer flow (BLF) at a stagnation point flow utilizing micropolar tri-hybrid nanofluid (tri-HNF) over a embedded in a porous medium. The contribution of dissipative heat, radiative heat permeable media and microrotation are assumed in the model. The tri-HNF composed of <span><math><mrow><mi>A</mi><msub><mi>l</mi><mn>2</mn></msub><msub><mi>O</mi><mn>3</mn></msub></mrow></math></span>, <span><math><mrow><mtext>Cu</mtext></mrow></math></span> and <span><math><mrow><mtext>Ti</mtext><msub><mi>O</mi><mn>2</mn></msub></mrow></math></span> nanoparticles dispersed in water. A shooting methodology in conjunction with the Runge-Kutta Fehlberg (RKF-45) method is used to numerically solve the governing equations. The governing equations include thermal radiation, Darcy-Forchheimer model, viscous dissipation, and micropolar effects. The ANN model built on the LM algorithm is used to accurately estimate entropy optimized flow, temperature, and angular momentum. The findings show that the thermal radiation substantially accelerates the heat transmission in tri-HNF. Raising the micropolar parameter increases the fluid temperature and entropy. The Brinkman number increases entropy formation. The results suggest that tri-HNF performs better thermally than NF and HNF. The ANN model achieves remarkable prediction accuracy, with mean squared error (MSE) values ranging from <span><math><mrow><msup><mn>10</mn><mrow><mo>−</mo><mn>8</mn></mrow></msup></mrow></math></span> to <span><math><mrow><msup><mn>10</mn><mrow><mo>−</mo><mn>10</mn></mrow></msup></mrow></math></span>.</div></div>","PeriodicalId":51341,"journal":{"name":"Propulsion and Power Research","volume":"15 1","pages":"Pages 48-66"},"PeriodicalIF":5.4,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147661735","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Mingming Zhang , Yating Zhen , Simeng Bai , Xi Nan , Ning Ma , Ruoyang Liu , Quan Wen
{"title":"Graph convolutional networks modeling for aerodynamic system stability with spatiotemporal topology fusion based on digital twin","authors":"Mingming Zhang , Yating Zhen , Simeng Bai , Xi Nan , Ning Ma , Ruoyang Liu , Quan Wen","doi":"10.1016/j.jppr.2026.02.003","DOIUrl":"10.1016/j.jppr.2026.02.003","url":null,"abstract":"<div><div>Digital twin, as a key direction in the digital transformation, is becoming an important supporting technology for intelligent operation and predictive maintenance of aeroengines. In response to the stability identification of the aerodynamic system, this study proposes a digital twin model based on the flow field topological structure graph convolution, focusing on the topology fusion modeling methods and the recognition strategies of unsteady flow characteristics. This method utilizes the Mapper algorithm in variational mode decomposition (VMD) to extract topological features from high-dimensional time-series data, constructing an adaptive graph structure generation module that reflects the complex dependencies in spatiotemporal sequences. Combining the advantages of time convolutional networks (TCN) and long short-term memory networks (LSTM), a TCN-LSTM time feature extraction module is designed. A spatiotemporal information fusion prediction model is constructed by the graph convolutional networks (GCN) module for the aerodynamic system. The model represents the root mean square error reduction approximately by 81.6% over the benchmark TCN_GCN model. With a prediction performance metric <em>R</em><sup>2</sup> of 0.9955, the compressor stability state is well achieved by the high-precision prediction. In addition, the study applies spatial domain topological structure, topological entropy, and measure entropy analysis methods to provide an in-depth description of the aerodynamic instability process of dynamic system. The system instability warning can be detected in advance at 251.6 r, 211.6 r, and 3.6 r by instances. This research combines topological theory with graph neural networks, developing a collaborative intelligent data processing framework. It aims at extracting the spatiotemporal structure and predicting the state of dynamic systems, providing multi-dimensional information for system recognition.</div></div>","PeriodicalId":51341,"journal":{"name":"Propulsion and Power Research","volume":"15 1","pages":"Pages 32-47"},"PeriodicalIF":5.4,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147661795","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Instability of double-diffusive convection in Voigt fluid-saturated porous media under local thermal non-equilibrium","authors":"Sangamesh , Ali J. Chamkha , K.R. Raghunatha","doi":"10.1016/j.jppr.2026.02.005","DOIUrl":"10.1016/j.jppr.2026.02.005","url":null,"abstract":"<div><div>This study examines the linear instability of double-diffusive convection in a horizontal porous layer saturated with a Kelvin-Voigt viscoelastic fluid under local thermal non-equilibrium (LTNE) conditions, where the fluid and solid phases maintain distinct temperatures. Such systems are essential for advancing thermal management in engineering applications and for understanding natural geophysical processes involving coupled heat and mass transport. Using linear stability analysis with normal-mode solutions, we determine the critical conditions for the onset of stationary and oscillatory convection, emphasizing the roles of solute transport, viscoelasticity, porous-medium characteristics, and interphase heat transfer. Our findings demonstrate that oscillatory convection prevails across a broad parameter space, with viscoelastic effects either stabilizing or destabilizing depending on the intensity of solutal stratification. Specifically, increasing the solute Darcy-Rayleigh number substantially elevates the critical thermal Rayleigh number, while higher Darcy numbers promote viscous diffusion and broaden the stability domain. In contrast, elevated Darcy-Prandtl and Lewis numbers accelerate the onset of oscillatory convection by amplifying thermal and concentration gradients. The interphase heat transfer coefficient exerts a pronounced stabilizing influence, especially within the intermediate LTNE regime, whereas the weighted conductivity and thermal diffusivity ratios yield contrasting effects on system stability. We validate our critical thresholds against established Newtonian fluid benchmarks, confirming the accuracy and robustness of our analysis. The key novelty of this work lies in the systematic quantification of the coupled effects of viscoelasticity, solute transport, and interphase heat transfer on the onset of oscillatory convection under thermal non-equilibrium conditions. These results offer valuable insights for designing chemical reactors, geothermal energy systems, and heat exchangers, as well as for environmental modeling of oceanic and atmospheric flows in porous media containing viscoelastic fluids.</div></div>","PeriodicalId":51341,"journal":{"name":"Propulsion and Power Research","volume":"15 1","pages":"Pages 144-165"},"PeriodicalIF":5.4,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147661829","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Dhia Azeem Khairil Anwar , Nor Azizah Yacob , Nor Fadhilah Dzulkifli , Anisah Dasman , Mohd Rijal Ilias , Nur Syazana Anuar , Anuar Ishak , Ioan Pop
{"title":"Analysis of dusty hybrid nanofluid flow and heat transfer characteristics over shrinking and stretching sheets: Role of viscous dissipation and slip conditions","authors":"Dhia Azeem Khairil Anwar , Nor Azizah Yacob , Nor Fadhilah Dzulkifli , Anisah Dasman , Mohd Rijal Ilias , Nur Syazana Anuar , Anuar Ishak , Ioan Pop","doi":"10.1016/j.jppr.2025.09.002","DOIUrl":"10.1016/j.jppr.2025.09.002","url":null,"abstract":"<div><div>Fluid flow and transmission of heat have grown in importance in technology nowadays, and development is necessary to raise the technology standard to be on track with current advancements. This work, therefore, attempts to ascertain the effects on fluid flow and transmission of heat across a permeable horizontal shrinking/stretching sheet of the viscous dissipation, and the temperature and velocity slip parameters. Dusty hybrid nanofluids were developed by scaterring copper and alumina nanoparticles along with dust particles into water. The programmed solver in MATLAB, referred to as bvp4c, has been utilized to generate numerical results of the similarity equations produced by simplifying the governing equations using the boundary layer approximation and the similarity transformation approach. The findings show that the rise in Eckert number lowers the heat transfer efficiency by 62.82% for the first solution. Interestingly, the Nusselt number becomes negative in the presence of viscous dissipation for the first and second solutions, with the influence of slip parameters, suggesting that heat is transferred from the fluid to the surface. Additionally, for certain values of shrinking surfaces, dual solutions are achievable. Thus, to sum up, modifying the parameters such as viscous dissipation and slip parameters significantly impacts the rate of heat transmission.</div></div>","PeriodicalId":51341,"journal":{"name":"Propulsion and Power Research","volume":"14 3","pages":"Pages 552-563"},"PeriodicalIF":5.4,"publicationDate":"2025-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145384478","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}