Jinlu Yu, Guangxia Chen, Lei Zhang, Zhankai Kang, Luyun Jiang, Yang Yu, Xiangyu Zhu, Gaofeng Wang
{"title":"Ignition characteristics of a high-energy jet plasma igniter in an aeroengine afterburner","authors":"Jinlu Yu, Guangxia Chen, Lei Zhang, Zhankai Kang, Luyun Jiang, Yang Yu, Xiangyu Zhu, Gaofeng Wang","doi":"10.1016/j.jppr.2026.06.001","DOIUrl":"10.1016/j.jppr.2026.06.001","url":null,"abstract":"<div><div>With the increasing thrust-to-weight ratio demands of modern aeroengines, afterburner ignition performance requirements have become more stringent. To broaden the ignition boundary and enhance ignition capability under extreme conditions, a high-energy jet plasma igniter was developed and its ignition characteristics examined. Analysis focused on the ignition process, ignition delay, and ignition boundary. Results confirmed a two-stage ignition process: the self-ignition process of the igniter and the process of igniting the fuel-air mixture in the afterburner with the jet flame of the igniter. The durations of these stages constitute the total ignition delay. The experimental results show that the igniter has a wide working range and can successfully ignite between 0.63 and 16.91 excess air coefficient, covering the inlet velocity of the combustion chamber from 5.56 to 52.78 m/s. At <em>T</em><sub><em>in</em></sub> = 293 K and <em>W</em><sub><em>in</em></sub> = 1000 m<sup>3</sup>/h, the ignition delay time in the second stage ranged from a minimum of 100.26 ms to a maximum of 314.99 ms. These results verified the significant advantages of the high-energy jet plasma igniter in effectively expanding the ignition boundary and improving ignition reliability.</div></div>","PeriodicalId":51341,"journal":{"name":"Propulsion and Power Research","volume":"15 2","pages":"Pages 217-234"},"PeriodicalIF":6.7,"publicationDate":"2026-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148559846","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Non-Fourier heat and mass transfer analysis of MHD Oldroyd-B hybrid nanofluid: An artificial intelligence assisted overlapping spectral quasi-linearization approach","authors":"O.J. Folarin, S.P. Moshokoa, M.C. Kekana","doi":"10.1016/j.jppr.2026.05.003","DOIUrl":"10.1016/j.jppr.2026.05.003","url":null,"abstract":"<div><div>The present study develops a high-fidelity numerical analysis of magnetohydrodynamic (MHD) transport phenomena in an Oldroyd-B hybrid nanofluid composed of blood as the base fluid with copper (Cu) and aluminum oxide (Al<sub>2</sub>O<sub>3</sub>) nanoparticles. The flow is induced by a nonlinear stretching surface situated inside a porous medium under the combined effects of thermal radiation, viscous dissipation, Joule heating, and finite thermal and solutal relaxation. The resulting nonlinear boundary-layer equations governing momentum, heat, and mass transfer are transformed into a coupled system of ordinary differential equations using similarity variables. The solutions are obtained with high accuracy using the overlapping spectral quasi-linearization method (OSQLM), which combines the advantages of quasi-linearization with the spectral accuracy of Chebyshev collocation on overlapping domains. A detailed parametric analysis is carried out to examine the effects of viscoelasticity, porous medium resistance, magnetic damping, nonlinear stretching, and nanoparticle concentration on the velocity, temperature, and concentration distributions. The hybrid nanofluid demonstrates enhanced thermal and mass transport characteristics compared with the conventional nanofluid due to its improved effective thermophysical properties. In particular, thermal relaxation significantly suppresses convective cooling, whereas increasing nonlinear stretching enhances the cooling effect. Mass transfer is found to depend strongly on the solutal relaxation parameter, Schmidt number, and power-law index. Furthermore, the hybrid nanofluid requires approximately 30%–40% lower nanoparticle volume fraction to achieve equivalent thermal performance, which is important for reducing biomedical toxicity concerns in practical applications. To complement the physics-based solver, an artificial neural network (ANN) surrogate model is developed using high-fidelity OSQLM data to rapidly predict engineering quantities. The ANN demonstrates excellent predictive performance with minimal error in estimating the skin friction coefficient, Nusselt number, and Sherwood number. The hybrid OSQLM-ANN framework provides an efficient computational tool for analysis, optimization, and real-time control of hybrid nanofluid transport in biomedical systems, porous media, and advanced thermal management applications.</div></div>","PeriodicalId":51341,"journal":{"name":"Propulsion and Power Research","volume":"15 2","pages":"Pages 416-440"},"PeriodicalIF":6.7,"publicationDate":"2026-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148559844","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Nonlinear dynamics of a fractional-order neuron model for nerve impulse propagation in cell membranes: Chaos, multistability, control, and soliton phenomena","authors":"Dipankar Kumar, Gour Chandra Paul","doi":"10.1016/j.jppr.2026.04.003","DOIUrl":"10.1016/j.jppr.2026.04.003","url":null,"abstract":"<div><div>This study explores the nonlinear dynamics of a nerve impulse neuron model governed by a partial differential equation (PDE) with beta-fractional derivatives, allowing the inclusion of nonlocal temporal dependence in the model formulation. The model exhibits rich dynamical behavior, including chaos, multistability, and chaos control, alongside the emergence of solitary and periodic wave solutions within the cell membrane. Through a suitable transformation, the PDE is transformed into an ordinary differential equation (ODE), which is further reduced to a planar dynamical system via the Galilean transformation. The stability of the system’s equilibrium points is assessed through eigenvalue analysis of the associated Jacobian matrix. Numerical solutions of the reduced integer-order ODE system are performed using a Runge-Kutta method, and chaotic dynamics are induced via a time-dependent periodic forcing term. Chaos is consistently identified using standard diagnostics, including phase portraits, time-series analysis, Lyapunov exponents, Poincaré maps, bifurcation diagrams, power spectra, return maps, and recurrence plots. The Pyragas time-delayed feedback control method is then applied to stabilize the system, resulting in stabilized periodic states. To explore wave solutions, variational and Hamiltonian approaches are employed to derive analytical expressions for bright, bright-dark, kinky-bright, and periodic wave solutions within the fractional-order framework. The influence of the fractional order on temporal dynamics and spatial wave propagation is illustrated through two- and three-dimensional graphical representations. These wave structures may be interpreted as mathematical analogs of excitation, inhibition, and rhythmic firing mechanisms in neuronal dynamics. The results provide new insights into the nonlinear features of the fractional neuron model, linking memory effects, nonlinear excitability to mathematically meaningful interpretations of neuronal firing and signal transmission.</div></div>","PeriodicalId":51341,"journal":{"name":"Propulsion and Power Research","volume":"15 2","pages":"Pages 387-415"},"PeriodicalIF":6.7,"publicationDate":"2026-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148559689","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Mudassar Qamar, Masood Khan, Syed Modassir Hussain
{"title":"Effect of activation energy on mass transfer features of Powell-Eyring nanofluid via shrinking disk: Dual solutions and stability analysis","authors":"Mudassar Qamar, Masood Khan, Syed Modassir Hussain","doi":"10.1016/j.jppr.2026.02.009","DOIUrl":"10.1016/j.jppr.2026.02.009","url":null,"abstract":"<div><div>This study's main goal is to investigate the Darcy-Forchheimer model of Eyring-Powell nanofluid's mass and thermal transport mechanisms across a shrinking disk. Joule heating, magnetic field, thermophoresis, viscous dissipation, non-uniform energy sink/source, activation energy, and Brownian motion with convective constraint are all taken into account in the physical model. The non-linear ODEs model is tackled numerically and graphically with the help of the bvp4c approach. The key finding shows that a dual solution was performed in the region <span><math><mrow><mo>(</mo><mrow><mi>χ</mi><mo>></mo><msub><mi>χ</mi><mrow><mi>c</mi><mi>i</mi></mrow></msub></mrow><mo>)</mo></mrow></math></span> for shrinking disk with varying values of distinct factors, while no solution occurs in the sector <span><math><mrow><mrow><mo>(</mo><mrow><mi>χ</mi><mo><</mo><msub><mi>χ</mi><mrow><mi>c</mi><mi>i</mi></mrow></msub></mrow><mo>)</mo></mrow><mtext>.</mtext></mrow></math></span> It also found that the critical point <span><math><mrow><mo>(</mo><msub><mi>χ</mi><mrow><mi>c</mi><mi>i</mi></mrow></msub><mo>)</mo></mrow></math></span> stay constant at <span><math><mrow><mrow><mo>(</mo><mrow><mo>−</mo><mn>0.4277</mn></mrow><mo>)</mo></mrow><mtext>,</mtext></mrow></math></span> despite variation of <span><math><mrow><mi>R</mi><mi>d</mi><mrow><mo>(</mo><mrow><mo>=</mo><mn>0.3</mn><mo>,</mo><mn>0.4</mn><mo>,</mo><mn>0.5</mn></mrow><mo>)</mo></mrow></mrow></math></span> and <span><math><mrow><mi>E</mi><mi>c</mi><mrow><mo>(</mo><mrow><mo>=</mo><mn>2</mn><mo>,</mo><mn>2.5</mn><mo>,</mo><mn>3</mn></mrow><mo>)</mo></mrow></mrow></math></span> against heat transportation rate. The heat transportation coefficient increases with the rising factor of the Powell fluid for the first solution. Furthermore, the mass curve shows a rising trend for both solutions with a positive variation in the value of energy activation. To identify which solution is stable or unstable, stability analysis is carried out.</div></div>","PeriodicalId":51341,"journal":{"name":"Propulsion and Power Research","volume":"15 2","pages":"Pages 261-275"},"PeriodicalIF":6.7,"publicationDate":"2026-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148559682","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Naeem Ullah, Wang Jian, Marouan Kouki, Fatma Aouaini
{"title":"Machine learning based modeling of triple-diffusive MHD hyperbolic nanofluid flow with heat transfer optimization in Darcy-Forchheimer porous medium","authors":"Naeem Ullah, Wang Jian, Marouan Kouki, Fatma Aouaini","doi":"10.1016/j.jppr.2026.05.001","DOIUrl":"10.1016/j.jppr.2026.05.001","url":null,"abstract":"<div><div>This study investigates magnetohydrodynamic (MHD) flow of a tangent hyperbolic nanofluid (HNF) over a stretching surface, incorporating thermal radiation, chemical reactions, and Soret-Dufour effects within a Darcy-Forchheimer porous medium. The governing partial differential equations (PDEs) are first converted into ordinary differential equations (ODEs) using appropriate similarity transformations. The MATLAB bvp4c algorithm is used to solve and generate a dataset for the Levenberg-Marquardt backpropagation artificial neural network (LMBP-ANN) numerically. The ANN model is trained, tested, and validated using comprehensive datasets generated for various fluid parameters, with accuracy assessed through regression analysis, error histograms, and curve fitting. The dataset was divided into three subsets, training, validation, and testing, 80%, 10%, and 10%. Key findings reveal that the velocity profile declines with increasing the value of the Hartmann number, Weissenberg number, and power-law index but rises with buoyancy parameters and the Deborah number. The temperature profile is enhanced by the Hartmann number, Brownian motion, power-law index, thermophoresis, Dufour number, and thermal radiation, while being reduced by the Prandtl number. The solute concentration profile decreases with the Schmidt number but increases with the Soret number. The numerical results for skin friction, Nusselt number, and Sherwood number are presented in tabular form.</div></div>","PeriodicalId":51341,"journal":{"name":"Propulsion and Power Research","volume":"15 2","pages":"Pages 311-338"},"PeriodicalIF":6.7,"publicationDate":"2026-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148559686","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Correlation-length effects in a rotating semiconductor photo-thermoelastic sphere via the nonlocal modified GN-III model","authors":"Kareem Alanazi, Ahmed E. Abouelregal","doi":"10.1016/j.jppr.2026.05.002","DOIUrl":"10.1016/j.jppr.2026.05.002","url":null,"abstract":"<div><div>This study presents a novel nonlocal photo-thermoelastic framework that combines the Moore-Gibson-Thompson (MGT) heat conduction equation with an enhanced Green-Naghdi Type III (GN-III) model and the Guyer-Krumhansl (GK) nonlocal formulation. By integrating thermal relaxation, rate-dependent conductivity, and spatial nonlocality through a meaningful correlation length <span><math><mrow><msub><mi>l</mi><mi>q</mi></msub></mrow></math></span> (representing the phonon/electron mean free path), the model addresses the unphysical infinite thermal wave speeds of classical Fourier theory, ensuring finite and causal propagation. The framework is employed to investigate the dynamics of thermal, elastic, and carrier density in a rotating semiconductor sphere subjected to thermal shock, uniform rotation, and an external magnetic field. Governing equations are numerically solved in the Laplace domain, leveraging L'Hôpital's rule to manage spherical singularities. Noteworthy findings indicate that nonlocality significantly alters the mechanical response, causing a sign reversal in central displacement from compressive to expansive and achieving a 977% increase in carrier recombination at the sphere's center—effects missing in local models. The full nonlocal MGT model predicts 20%–30% lower values for temperature, displacement, stress, and carrier density compared to classical photo-thermoelasticity, with contributions from thermal relaxation, rate-dependent conductivity, and nonlocal spatial averaging. The study provides a robust tool for optimizing high-performance semiconductor devices, such as rotating MEMS gyroscopes and laser diodes, where accurate predictions of photo-induced effects are essential.</div></div>","PeriodicalId":51341,"journal":{"name":"Propulsion and Power Research","volume":"15 2","pages":"Pages 363-386"},"PeriodicalIF":6.7,"publicationDate":"2026-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148559688","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Fractional-order Hall-current magneto-photothermal waves in microtemperature hydro-poroelastic semiconductor media subjected to ramp-type heating and variable thermal conductivity","authors":"Hashim M. Alshehri, Khaled Lotfy","doi":"10.1016/j.jppr.2026.03.002","DOIUrl":"10.1016/j.jppr.2026.03.002","url":null,"abstract":"<div><div>This work presents an advanced theoretical model for magneto-photothermal wave propagation in microtemperature hydro-poroelastic semiconductor media subjected to ramp-type thermal heating, explicitly accounting for fractional-order non-Fourier heat conduction, Hall current effects, and variable thermal conductivity. Unlike classical formulations that assume constant thermal properties, the present model incorporates a temperature-dependent thermal conductivity via the Kirchhoff transformation, enabling a realistic description of nonlinear heat diffusion under rapid thermal loading. A fractional-order time derivative is introduced in the heat conduction equation to capture thermal memory and anomalous diffusion, while Hall current effects are included in the electromagnetic coupling, leading to modified current density and Lorentz force expressions under strong magnetic fields. The governing system couples elastic deformation, microtemperature evolution, pore-fluid pressure, carrier density, and electromagnetic fields within a unified framework. Analytical solutions are obtained using the normal mode analysis technique, yielding closed-form expressions for the primary field variables and associated stresses. Numerical simulations are performed for porous silicon (PSi) as a representative hydro-poroelastic semiconductor material, using thermophysical, mechanical, electrical, and microtemperature properties reported in the literature. The parametric analysis spans physically relevant ranges of the fractional thermal order (0 < <em>α</em>≤ 1), Hall parameter, and thermal conductivity variation coefficient, allowing systematic investigation of memory effects, electromagnetic coupling, and nonlinear heat transport. The Hall parameter introduces additional damping and directional coupling, whereas ramp-type heating intensifies near-surface transient responses. The model reduces to the classical magneto-photothermal hydro-poroelastic theory in the limiting cases of constant thermal conductivity, integer-order heat conduction, and vanishing Hall current, confirming its generality. The proposed framework provides new physical insight into coupled wave phenomena in semiconductor materials and is relevant to the design of advanced optoelectronic, sensing, and energy-harvesting devices operating under rapid thermal loading and strong magnetic environments.</div></div>","PeriodicalId":51341,"journal":{"name":"Propulsion and Power Research","volume":"15 2","pages":"Pages 276-299"},"PeriodicalIF":6.7,"publicationDate":"2026-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148559683","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Imed Bachar, Khaled Lotfy, Fulin Shang, Alaa A. El-Bary, Ibrahim S. Elshazly, Mohamed I.M. Hilal
{"title":"Thermodiffusion of a magnetized rotating microelongated thermoelastic layer due to initial stress and the Moore-Gibson-Thompson model","authors":"Imed Bachar, Khaled Lotfy, Fulin Shang, Alaa A. El-Bary, Ibrahim S. Elshazly, Mohamed I.M. Hilal","doi":"10.1016/j.jppr.2026.04.004","DOIUrl":"10.1016/j.jppr.2026.04.004","url":null,"abstract":"<div><div>This study presents an analytical investigation of wave propagation in a magnetized, rotating, initially stressed microelongated thermoelastic layer within the framework of the Moore-Gibson-Thompson (MGT) heat conduction model, incorporating thermodiffusion and microstructural effects. The proposed formulation accounts for the coupled interactions between thermal, mechanical, magnetic, diffusive, and microelongational fields in a homogeneous and isotropic medium, providing a physically consistent multi-physics description of energy transport and wave dynamics. An exact analytical solution is obtained using the harmonic wave approach, enabling the derivation of bounded wave modes and characteristic propagation behavior in the half-space configuration. Numerical simulations are performed using aluminum-epoxy material properties to examine the influence of key parameters, including rotation, magnetic field intensity, and wave number, on temperature distribution, displacement components, stress fields, and chemical concentration. The results reveal strong thermo-rotational and magneto-thermoelastic coupling effects, demonstrating that increasing rotation enhances thermal energy accumulation and significantly modifies mechanical and diffusive responses. Stable finite solutions are obtained throughout the domain, and wave attenuation is shown to arise not only from intrinsic material dissipation mechanisms but also from boundary-induced energy loss effects. The proposed model provides a robust theoretical framework for understanding coupled wave phenomena in microstructured thermoelastic materials, with potential relevance to advanced engineering, energy systems, and microstructured material applications.</div></div>","PeriodicalId":51341,"journal":{"name":"Propulsion and Power Research","volume":"15 2","pages":"Pages 441-455"},"PeriodicalIF":6.7,"publicationDate":"2026-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148559845","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Feng-Yuan Zuo , Lai-Jian Ma , Si-Qi Wang , Sergio Pirozzoli
{"title":"Suppression separation in conical shock wave/turbulent boundary layer interactions through porous bleed control","authors":"Feng-Yuan Zuo , Lai-Jian Ma , Si-Qi Wang , Sergio Pirozzoli","doi":"10.1016/j.jppr.2026.01.001","DOIUrl":"10.1016/j.jppr.2026.01.001","url":null,"abstract":"<div><div>The separation control of conical shock wave/boundary layer interaction (CSBLI) has been investigated at Mach number <span><math><mrow><mi>M</mi><mo>=</mo><mn>2.05</mn></mrow></math></span> with Reynolds number of <span><math><mrow><msub><mrow><mi>R</mi><mi>e</mi></mrow><mi>τ</mi></msub><mo>≈</mo><mn>150</mn></mrow></math></span>. Simulations of both controlled and uncontrolled CSBLI flow have been performed using the RANS equations with Spalart-Allmaras (S-A) turbulence model. According to the comprehensive quantitative comparison with a high-fidelity DNS database, the S-A model accurately enable to reproduce the separation behaviors under the low-Reynolds-number condition. Due to the well arranged porous bleed method, the separation bubble has been effectively suppressed, together with the evolution of conical shock-induced horseshoe vortices. Furthermore, a corrected method for describing porous bleed control performance is developed for the CSBLI flow with spanwise pressure gradient. All data collapse well along with the predicted curve, which means it can be conveniently fitted by a simple quadratic function. This modified model also exhibits well collapse in swept-fin SBLI by porous bleed control, suggesting its potential universality with effect of spanwise pressure gradient.</div></div>","PeriodicalId":51341,"journal":{"name":"Propulsion and Power Research","volume":"15 1","pages":"Pages 1-15"},"PeriodicalIF":5.4,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147661794","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":"Investigating peristaltic motion of ternary nanofluids using cubic regression with couple stress and Darcy-Forchheimer influence","authors":"Pooja Devi, Bhuvaneshvar Kumar","doi":"10.1016/j.jppr.2026.02.004","DOIUrl":"10.1016/j.jppr.2026.02.004","url":null,"abstract":"<div><div>This study investigates the peristaltic motion of magnetohydrodynamic (MHD) couple-stress ternary nanofluids through an inclined asymmetric porous channel under the influence of Darcy-Forchheimer drag. Two blood-based ternary nanofluid formulations are considered: T1 (Ag+TiO<sub>2</sub>+Cu) and T2 (Au+Fe<sub>3</sub>O<sub>4</sub>+multi-walled carbon nanotube, MWCNT). Two ternary nanofluid combinations (Ag+TiO<sub>2</sub>+Cu and (Au+Fe<sub>3</sub>O<sub>4</sub>+multi-walled carbon nanotube, MWCNT) were selected to compare metallic-oxide blends with hybrid magnetic-carbon structures, enabling assessment of their distinct thermal and rheological advantages. The governing equations of momentum, energy, and concentration are developed under the long wavelength and low Reynolds number assumptions and transformed into a dimensionless form. The effects of couple stress, magnetic field, porosity, heat generation, and chemical reaction are examined using a shooting technique coupled with the classical fourth-order Runge-Kutta (RK-4) method. Results show that the magnetic field and Forchheimer effects increase flow resistance, while higher Darcy numbers enhance velocity and thermal performance. Ternary nanofluid-2 exhibits superior thermal and mass transfer rates due to the synergistic influence of Au, Fe<sub>3</sub>O<sub>4</sub>, and MWCNT nanoparticles, which offer higher conductivity and lower interfacial resistance. The outcomes provide physical insights relevant to biomedical pumping, targeted drug transport, and thermal regulation in microfluidic devices. A cubic regression model is used because it captures nonlinear interactions among magnetic, porous, and couple-stress parameters more accurately than linear or quadratic models, enabling reliable prediction of complex peristaltic flow behavior.</div></div>","PeriodicalId":51341,"journal":{"name":"Propulsion and Power Research","volume":"15 1","pages":"Pages 87-112"},"PeriodicalIF":5.4,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147661738","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}