Journal of Advanced Research in Numerical Heat Transfer最新文献

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Numerical Analysis of Transient Convective Heat Transfer in a Dental Implant 牙科植入物中瞬态对流传热的数值分析
Journal of Advanced Research in Numerical Heat Transfer Pub Date : 2024-06-02 DOI: 10.37934/arnht.20.1.112
Muhammad Ikman Ishak, Ruslizam Daud, Siti Noor Fazliah Mohd Noor
{"title":"Numerical Analysis of Transient Convective Heat Transfer in a Dental Implant","authors":"Muhammad Ikman Ishak, Ruslizam Daud, Siti Noor Fazliah Mohd Noor","doi":"10.37934/arnht.20.1.112","DOIUrl":"https://doi.org/10.37934/arnht.20.1.112","url":null,"abstract":"Hot substance consumption can have adverse effects on the neighbouring bone tissue in proximity to a dental implant. Elevated temperatures at the interface between the bone and implant could potentially disrupt the local cellular processes crucial for osteointegration. The primary goal of this study was to analyse the temperature and heat flux distributions within the implant body, surrounding bone, and bone-implant interface when the implant system subjected to a thermal load of transient nature. Transient thermal finite element analysis was utilised to analyse a three-dimensional model of dental implant with three different lengths – 6, 10, and 13 mm – placed in a mandible section. In order to obtain realistic results, thermal load was applied through convection on the outer surface of the prosthesis, simulating exposure to a hot liquid with the temperature and convection heat transfer coefficient of 67°C and 0.005 W/mm2°C, respectively. The temperature of the other components in the model was maintained at a constant 37°C. The results showed that increasing the implant length generally led to lower temperature and heat flux levels in the implant body, bone, and bone-implant interface. The highest temperature and heat flux values were concentrated in the superior region, gradually decreasing toward the inferior region. Importantly, all maximum temperature values remained below the limits associated with cellular bone necrosis and remodelling, thereby reducing the risk of osteoporosis. It is noteworthy that, when considering transient thermal load, shorter implants pose a significantly higher risk of implant failure compared to longer ones.","PeriodicalId":119773,"journal":{"name":"Journal of Advanced Research in Numerical Heat Transfer","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-06-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141273925","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Newtonian Heating in Magnetohydrodynamic (MHD) Hybrid Nanofluid Flow Near the Stagnation Point over Nonlinear Stretching and Shrinking Sheet 非线性伸缩片上停滞点附近的磁流体混合纳米流体流中的牛顿加热现象
Journal of Advanced Research in Numerical Heat Transfer Pub Date : 2024-06-02 DOI: 10.37934/arnht.20.1.5367
Nurwardah Mohd Puzi, Mashitah Aziz, Nur Syazana Anuar, Norfifah Bachok, Iaon Pop
{"title":"Newtonian Heating in Magnetohydrodynamic (MHD) Hybrid Nanofluid Flow Near the Stagnation Point over Nonlinear Stretching and Shrinking Sheet","authors":"Nurwardah Mohd Puzi, Mashitah Aziz, Nur Syazana Anuar, Norfifah Bachok, Iaon Pop","doi":"10.37934/arnht.20.1.5367","DOIUrl":"https://doi.org/10.37934/arnht.20.1.5367","url":null,"abstract":"Hybrid nanofluids have demonstrated superior heat transfer performance in numerous applications. However, there remains a need for further research to broaden the scope of their potential applications. The unique behavior of hybrid nanofluids, driven by their potential for improved thermal efficiency, continues to be a focal point of investigation and exploration. This study focuses on the effects of Newtonian heating in MHD hybrid nanofluid near the stagnation point over a nonlinear stretching/shrinking sheet. The Tiwari and Das model, which is a single-phase model, was used to develop the mathematical model. The base fluid and the nanoparticles are assumed to be in thermal equilibrium; hence there is no thermal slip between them. The combination of metal (Cu) and metal oxide (Al2O3) nanoparticles with water (H2O) as the base fluid is used for the analysis. Furthermore, the governing equations are transformed using a similarity transformation technique into similarity equations, which are then solved numerically using a bvp4c function in MATLAB software. Numerical comparison with the published literature is conducted to validate the numerical results, and excellent agreement is found. The impact of physical parameters on the velocity, temperature, skin friction, and local Nusselt number is graphically deliberated. The outcomes suggest that non-unique solutions are found in a specific range of the shrinking parameter. It is also observed that increasing Cu (copper) nanoparticle volume fractions cause an increase in the skin friction coefficient and the local Nusselt number. The presence of magnetic and nonlinear parameters widens the range of solutions to exist while different observation is noticed with an increase in the volume fraction of Cu. Other than that, it has been shown that the Nusselt number increases as the magnetic parameter increases. Lastly, the rise of Newtonian heating contributes to an increase in the temperature profile. This investigation is crucial for understanding the thermal behavior of Cu-Al2O3/ H2O under the influence of physical factors like a magnetic field and Newtonian heating.","PeriodicalId":119773,"journal":{"name":"Journal of Advanced Research in Numerical Heat Transfer","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-06-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141273262","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Numerical Solution of Heat Equation using Modified Cubic B-spline Collocation Method 使用修正的立方 B-样条配位法数值求解热方程
Journal of Advanced Research in Numerical Heat Transfer Pub Date : 2024-06-02 DOI: 10.37934/arnht.20.1.2335
Mudassar Iqbal, Nooraini Zainuddin, Hanita Daud, Ramani Kanan, Rahimah Jusoh, Atta Ullah, Ilyas Kareem Khan
{"title":"Numerical Solution of Heat Equation using Modified Cubic B-spline Collocation Method","authors":"Mudassar Iqbal, Nooraini Zainuddin, Hanita Daud, Ramani Kanan, Rahimah Jusoh, Atta Ullah, Ilyas Kareem Khan","doi":"10.37934/arnht.20.1.2335","DOIUrl":"https://doi.org/10.37934/arnht.20.1.2335","url":null,"abstract":"In this paper, a collocation method is presented based on the Modified Cubic B-spline Method (MCBSM) for the numerical solution of the heat equation. The PDE is fully discretized by using the Modified Cubic B-spline basis collocation for spatial discretization and the finite difference method is used for the time discretization. A numerical example from PDE is used to evaluate the accuracy of the proposed method. The numerical results are evaluated in comparison to the exact solutions. The findings consistently indicate that the suggested technique provides good error estimates. We also discovered that our proposed method was unconditionally stable. Hence, based on the results and the efficiency of the method, the method is suitable for solving heat equation.","PeriodicalId":119773,"journal":{"name":"Journal of Advanced Research in Numerical Heat Transfer","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-06-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141272787","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Activation energy, Rotational and Hall current Effects of Magnetohydrodynamic 3D flow of Non-Newtonian Hybrid Nanofluid over a Stretched Plate 拉伸板上非牛顿混合纳米流体的磁流体动力三维流动的活化能、旋转和霍尔电流效应
Journal of Advanced Research in Numerical Heat Transfer Pub Date : 2024-06-02 DOI: 10.37934/arnht.20.1.3652
Dr.V.Ramachandra Reddy Vaddemani, Yeddula Rameswara Reddy, Donti Ratnam Srinivasan
{"title":"Activation energy, Rotational and Hall current Effects of Magnetohydrodynamic 3D flow of Non-Newtonian Hybrid Nanofluid over a Stretched Plate","authors":"Dr.V.Ramachandra Reddy Vaddemani, Yeddula Rameswara Reddy, Donti Ratnam Srinivasan","doi":"10.37934/arnht.20.1.3652","DOIUrl":"https://doi.org/10.37934/arnht.20.1.3652","url":null,"abstract":"Nanofluids are of great importance to researchers as they have significant uses industrially due to their high heat transfer rates. Recently, a new class of nanofluid, ‘‘hybrid nanofluid” is being used to further enhance the heat transfer rate. This new model in 3D is employed to examine the impact of activation energy, Rotational and hall current on a Non-newtonian hybrid Fe3O4/Al2O3 nanofluid flow over-stretched plate. Using similarity transformations, the controlling partial differential equations are turned into a set of nonlinear ordinary differential equations. For that system of equations, the shooting method is used to generate numerical solutions. The impact of various entry parameters on transversal and longitudinal velocities, temperature, heat flow and surface shear stress are studied numerically and graphically. A good correlation between the earlier studies is obtained in specific cases showing the convergence criteria of the present procedure. Further, the physical significance of the contributive parameters is presented through graphs and tables. The observation shows that the particle concentration for the hybrid nanofluid augments the fluid velocity. Moreover, the inclusion of dissipative heat favors enhancing the fluid temperature for the involvement of the particle concentration.","PeriodicalId":119773,"journal":{"name":"Journal of Advanced Research in Numerical Heat Transfer","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-06-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141274059","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A Transient Heat Transfer Analysis of Thermal Necrosis-Aided Dental Implant Removal 热坏死辅助拔除牙种植体的瞬态传热分析
Journal of Advanced Research in Numerical Heat Transfer Pub Date : 2024-06-02 DOI: 10.37934/arnht.20.1.1322
Muhammad Ikman Ishak, Ruslizam Daud, Siti Noor Fazliah Mohd Noor
{"title":"A Transient Heat Transfer Analysis of Thermal Necrosis-Aided Dental Implant Removal","authors":"Muhammad Ikman Ishak, Ruslizam Daud, Siti Noor Fazliah Mohd Noor","doi":"10.37934/arnht.20.1.1322","DOIUrl":"https://doi.org/10.37934/arnht.20.1.1322","url":null,"abstract":"A prevalent and widely favoured solution for replacing lost teeth is the use of dental implants. The removal of dental implants, even when they are osseointegrated but unsuccessful, can be traumatic, resulting in the loss of healthy bone and adding complexity to the treatment procedure. Reducing the trauma associated with implant removal can be achieved by intentionally weakening the bone-implant attachment. To achieve this objective, a suggested approach involves utilising thermal necrosis to aid in the minimally invasive removal of implants. The objective of this study was to use finite element analysis to explore the optimal power output for intentionally inducing thermal necrosis in a dental implant. SolidWorks software was utilised to create a three-dimensional model of a dental implant assembly, which includes an abutment, screw, and implant body integrated into a segment of mandibular bone. The model was subsequently analysed using ANSYS software, applying device powers ranging from 5 to 40 W in 5 W increments on the top surface of the abutment. The results of the study showed that there was a considerable elevation in the temperatures of the bone and implant, even when employing the low power settings commonly used in electrosurgical procedures. Elevating the power level has led to a decrease in the time required for the bone and implant to reach 47°C, the initial temperature at which bone necrosis occurs. However, it is crucial to take into account the significant temperature rise in the implant body at higher power levels. The implementation of lower power settings could present a viable approach to achieving controlled osteonecrosis.","PeriodicalId":119773,"journal":{"name":"Journal of Advanced Research in Numerical Heat Transfer","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-06-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141273384","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A Numerical Study to Improve the Efficiency of Solar Collector used for water heating using Phase Change Material 利用相变材料提高太阳能集热器热水效率的数值研究
Journal of Advanced Research in Numerical Heat Transfer Pub Date : 2024-03-03 DOI: 10.37934/arnht.17.1.113
Hazim A. Al-Zurfi, Muna Ali Talib, Qasim H. Hassan, Ghaith J. Aljabri
{"title":"A Numerical Study to Improve the Efficiency of Solar Collector used for water heating using Phase Change Material","authors":"Hazim A. Al-Zurfi, Muna Ali Talib, Qasim H. Hassan, Ghaith J. Aljabri","doi":"10.37934/arnht.17.1.113","DOIUrl":"https://doi.org/10.37934/arnht.17.1.113","url":null,"abstract":"Solar water heaters are an effective technology for harnessing renewable solar energy to provide hot water for households and businesses. However, their efficiency can be impacted by factors like intermittent sunshine, heat losses, and low radiation intensity. The aim of this study is to increase the efficiency of solar water heaters through the use of phase change materials (PCMs). PCMs have the ability to store latent heat during phase change, releasing it later when needed. This study uses numerical simulations to analyze the effect of integrating different PCMs into a flat plate solar collector design. The findings could then be validated experimentally and applied to improve the real-world performance of solar water heating systems. The PCMs are placed inside the collector to absorb heat during the day and release it after sunset to continue heating the water. The research seeks to determine the optimal PCM properties, structure, and placement within the collector to maximize heat storage and transfer. The efficiency and performance of the solar collector system with different PCM configurations have been compared to those of a conventional collector without PCM. The outcomes uncover that the use of suitable PCMs can significantly improve the efficiency and heat output of the solar collector, especially during periods of low radiation and after sunset. The optimal PCM configuration maintains higher water temperatures for longer, allowing solar water heating to continue into the evening. The results may provide valuable insights for using PCMs to boost the efficiency of solar thermal technologies","PeriodicalId":119773,"journal":{"name":"Journal of Advanced Research in Numerical Heat Transfer","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-03-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140267104","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Impact of Biomass Fuel Feeding Ratio in Co-firing Circulating Fluidized Bed Boiler: A Computational Fluid Dynamics Study 生物质燃料进料比在共燃循环流化床锅炉中的影响:计算流体动力学研究
Journal of Advanced Research in Numerical Heat Transfer Pub Date : 2024-03-03 DOI: 10.37934/arnht.17.1.4454
Sorathan Tanprasert, Nuttima Rangton, Warunee Nukkhong, Pitakchon Wises, P. Piumsomboon, B. Chalermsinsuwan
{"title":"Impact of Biomass Fuel Feeding Ratio in Co-firing Circulating Fluidized Bed Boiler: A Computational Fluid Dynamics Study","authors":"Sorathan Tanprasert, Nuttima Rangton, Warunee Nukkhong, Pitakchon Wises, P. Piumsomboon, B. Chalermsinsuwan","doi":"10.37934/arnht.17.1.4454","DOIUrl":"https://doi.org/10.37934/arnht.17.1.4454","url":null,"abstract":"Nowadays, our global population is on a notable rise, coupled with an annual surge in energy consumption. The prevailing reliance on fossil fuels, especially in electricity generation, has significantly contributed to environmental pollution and exacerbated global warming. The circulating fluidized bed, distinguished for its continuous operation and effective heat transfer in the combustion chamber, emerges as a prominent boiler type. Furthermore, the use of biomass fuel, recognized for its renewable and environmentally friendly characteristics, presents an attractive option. Hence, exploring a co-firing system incorporating both coal and biomass as fuel feeds for the boiler holds promise, necessitating optimization for efficient energy production and reduced gas emissions. This study employs computational fluid dynamics to simulate the intricate interactions of solid fuel and flue gas reactions within the boiler, utilizing the two-fluid method for multiphase flow simulation. The circulating fluidized bed boiler in focus employs subbituminous coal, woodchips as biomass sources, and sand as the bed material. Model validation against operational data, including bed temperature, flue gas velocity outlet, and carbon dioxide mass fraction, indicates minimal deviation. Examination of the biomass ratio's impact on fuel feed reveals a reduction in sulfur dioxide emissions with an increasing biomass ratio, attributed to the lower sulfur content in woodchips compared to coal. However, a heightened woodchip blending ratio results in diminished boiler efficiency due to the altered heating value of the mixed solid fuel. The optimized biomass-to-coal ratio in fuel feeding is determined as 59.15%, achieving a maximized boiler efficiency of 82.84% and minimized pollution gas emissions of sulfur oxide and nitrogen oxide in accordance with industrial standards.","PeriodicalId":119773,"journal":{"name":"Journal of Advanced Research in Numerical Heat Transfer","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-03-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140267086","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Falkner-Skan Flow of Nanofluid with Convective Boundary Condition 带对流边界条件的纳米流体的 Falkner-Skan 流动
Journal of Advanced Research in Numerical Heat Transfer Pub Date : 2024-01-21 DOI: 10.37934/arnht.15.1.4352
Nurul Diana Mohammad, Nur Ilyana Kamis, Mohamad Hidayad Ahmad Kamal, Sharidan Shafie, Noraihan Afiqah Rawi
{"title":"Falkner-Skan Flow of Nanofluid with Convective Boundary Condition","authors":"Nurul Diana Mohammad, Nur Ilyana Kamis, Mohamad Hidayad Ahmad Kamal, Sharidan Shafie, Noraihan Afiqah Rawi","doi":"10.37934/arnht.15.1.4352","DOIUrl":"https://doi.org/10.37934/arnht.15.1.4352","url":null,"abstract":"This study focuses on the investigation of nanofluid flow with convective boundary conditions past a static wedge by considering copper as the chosen nanoparticles and water as the conventional base fluid. The governing partial differential equations (PDE) are transformed into a set of nonlinear ordinary differential equations (ODE) by using an appropriate similarity transformation. The transformed governing equations are then solved numerically by using the Keller-box method. The significant impact of parameters included wedge angle parameter, mixed convection parameter, volume fraction of nanoparticle and Biot number are presented. The graphical analysis on velocity and temperature profiles revealed that the increasing values of all considered parameters causes the increment of velocity of the flow. Meanwhile, significant changes on the temperature profiles are clearly depicted on the increment of nanoparticle volume fraction as well as the Biot number.","PeriodicalId":119773,"journal":{"name":"Journal of Advanced Research in Numerical Heat Transfer","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-01-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139610138","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Numerical Analysis of Fluid Flow and Heat Transfer Characteristics of Novel Microchannel Heat Sink 新型微通道散热器的流体流动和传热特性的数值分析
Journal of Advanced Research in Numerical Heat Transfer Pub Date : 2024-01-21 DOI: 10.37934/arnht.15.1.123
Yew Wai Loon, Nor azwadi Che Sidik, Yutaka Asako
{"title":"Numerical Analysis of Fluid Flow and Heat Transfer Characteristics of Novel Microchannel Heat Sink","authors":"Yew Wai Loon, Nor azwadi Che Sidik, Yutaka Asako","doi":"10.37934/arnht.15.1.123","DOIUrl":"https://doi.org/10.37934/arnht.15.1.123","url":null,"abstract":"Microchannel heat sinks have gained prominence in the field of thermal management, offering compact and efficient solutions for dissipating heat flux from high performance electronic devices. Escalating heat flux in modern electronic devices, such as those found in telecommunication equipment, industrial automation equipment, solar devices, and data centre servers has driven the continuous development of microchannel heat sink to achieve efficient thermal management. The critical challenge in thermal management for these devices is to develop a microchannel that enhances heat transfer performance and minimises pressure drop. Heat transfer and pressure drop are two competing factors that determine the practicability of the design for real world application. Improvement in heat transfer performance usually results in an increase in pressure drop and pumping power. This study addresses the challenges of designing microchannel through comprehensive numerical analysis of fluid flow and heat transfer characteristics of a novel design that combines ribs, secondary channels, and tertiary channels. The numerical results showed that the novel microchannel design achieves a favourable balance between heat transfer and pressure drop, demonstrating its potential to be used in application where high heat transfer and efficiency are paramount. To assess the performance of the microchannels, thermal resistance, a measure of system’s resistance to heat transfer is used. At the same pumping power, thermal resistance in the new design is consistently lower compared to other designs.","PeriodicalId":119773,"journal":{"name":"Journal of Advanced Research in Numerical Heat Transfer","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-01-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139609897","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Mathematical Solution for Free Convection Flow of Brinkman Type Fluid in the Channel with the Effect of Accelerated Plate 具有加速板效应的布林克曼型流体在通道中自由对流的数学解法
Journal of Advanced Research in Numerical Heat Transfer Pub Date : 2024-01-21 DOI: 10.37934/arnht.15.1.5368
Mohamad Riduan Hashim, Zulkhibri Ismail, Ahmad Qushairi Mohamad, Muhammad Atif Akashah, Wan Nura'in Nabilah Noranuar, Lim Yeou Jiann, Sharidan Shafie
{"title":"Mathematical Solution for Free Convection Flow of Brinkman Type Fluid in the Channel with the Effect of Accelerated Plate","authors":"Mohamad Riduan Hashim, Zulkhibri Ismail, Ahmad Qushairi Mohamad, Muhammad Atif Akashah, Wan Nura'in Nabilah Noranuar, Lim Yeou Jiann, Sharidan Shafie","doi":"10.37934/arnht.15.1.5368","DOIUrl":"https://doi.org/10.37934/arnht.15.1.5368","url":null,"abstract":"The main purpose of this research is to formulate the mathematical models and solution for the effect of accelerated plate on free convection flow in Brinkman type fluid through two vertical channels. Using the appropriate dimensionless variables, the dimensional governing energy and momentum equations are reduced to dimensionless equations subjected to the associated initial boundary conditions. The analytical solutions are obtained by using Laplace transform method. Dimensionless parameters are obtained through dimensionless processes such as Grashof number Gr, Acceleration plate parameter, R, Prandtl number Pr, Brinkman type fluid parameter and time, t. The mathematical findings for velocity and temperature are graphically plotted to investigate the influence of dimensionless variables on profiles. It is observed that fluid velocity increases with increasing of Gr and t whereas it decreases with increasing of , R and Pr. Besides that, it is found that temperature profiles decrease with a high value of Prandtl number, Pr while increase with high value of time, t. In order to validate the results, the obtained results in limiting cases are compared with the published results and also with numerical Gaver-Stehfest algorithm. Both comparisons show that the solution is to be in a mutual agreement.","PeriodicalId":119773,"journal":{"name":"Journal of Advanced Research in Numerical Heat Transfer","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-01-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139609806","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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