Numerical Investigation of Mixed Convective Williamson Fluid Flow Over an Exponentially Stretching Permeable Curved Surface
The present investigation aims to examine the heat flux mechanism in the hagnetohydrodynamic (MHD) mixed convective flow of Williamson-type fluid across an exponential stretching porous curved surface. The significant role of thermal conductivity (variable), non-linear thermal radiation, unequal sou...
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MDPI AG
2021-07-01
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| Series: | Fluids |
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| Online Access: | https://www.mdpi.com/2311-5521/6/7/260 |
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| author | Kamran Ahmed Waqar A. Khan Tanvir Akbar Ghulam Rasool Sayer O. Alharbi Ilyas Khan |
| author_facet | Kamran Ahmed Waqar A. Khan Tanvir Akbar Ghulam Rasool Sayer O. Alharbi Ilyas Khan |
| author_sort | Kamran Ahmed |
| collection | DOAJ |
| description | The present investigation aims to examine the heat flux mechanism in the hagnetohydrodynamic (MHD) mixed convective flow of Williamson-type fluid across an exponential stretching porous curved surface. The significant role of thermal conductivity (variable), non-linear thermal radiation, unequal source-sink, and Joules heating is considered. The governing problems are obtained using the Navier–Stokes theory, and the appropriate similarity transformation is applied to write the partial differential equations in the form of single-variable differential equations. The solutions are obtained by using a MATLAB-based built-in bvp4c package. The vital aspect of this analysis is to observe the effects of the curvature parameter, magnetic number, suction/injection parameter, permeability parameter, Prandtl factor, Eckert factor, non-linear radiation parameter, buoyancy parameter, temperature ratio parameter, Williamson fluid parameter, and thermal conductivity (variable) parameter on the velocity field, thermal distribution, and pressure profile which are discussed in detail using a graphical approach. The correlation with the literature reveals a satisfactory improvement in the existing results on permeability factors in Williamson fluids. |
| first_indexed | 2024-03-10T09:38:57Z |
| format | Article |
| id | doaj.art-16948421ef0d4d0ba2e2cdbb69687cfa |
| institution | Directory Open Access Journal |
| issn | 2311-5521 |
| language | English |
| last_indexed | 2024-03-10T09:38:57Z |
| publishDate | 2021-07-01 |
| publisher | MDPI AG |
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| series | Fluids |
| spelling | doaj.art-16948421ef0d4d0ba2e2cdbb69687cfa2023-11-22T03:46:26ZengMDPI AGFluids2311-55212021-07-016726010.3390/fluids6070260Numerical Investigation of Mixed Convective Williamson Fluid Flow Over an Exponentially Stretching Permeable Curved SurfaceKamran Ahmed0Waqar A. Khan1Tanvir Akbar2Ghulam Rasool3Sayer O. Alharbi4Ilyas Khan5Department of Mathematics, Islamabad Campus, COMSATS University, Islamabad 44000, PakistanDepartment of Mechanical Engineering, Prince Mohammad Bin Fahd University, P.O. Box 1664, Al Khobar 31952, Saudi ArabiaDepartment of Mathematics, Islamabad Campus, COMSATS University, Islamabad 44000, PakistanBinjiang College, Nanjing University of Information Science and Technology, Wuxi 214105, ChinaDepartment of Mathematics, College of Science Al-Zulfi, Majmaah University, Al-Majmaah 11952, Saudi ArabiaDepartment of Mathematics, College of Science Al-Zulfi, Majmaah University, Al-Majmaah 11952, Saudi ArabiaThe present investigation aims to examine the heat flux mechanism in the hagnetohydrodynamic (MHD) mixed convective flow of Williamson-type fluid across an exponential stretching porous curved surface. The significant role of thermal conductivity (variable), non-linear thermal radiation, unequal source-sink, and Joules heating is considered. The governing problems are obtained using the Navier–Stokes theory, and the appropriate similarity transformation is applied to write the partial differential equations in the form of single-variable differential equations. The solutions are obtained by using a MATLAB-based built-in bvp4c package. The vital aspect of this analysis is to observe the effects of the curvature parameter, magnetic number, suction/injection parameter, permeability parameter, Prandtl factor, Eckert factor, non-linear radiation parameter, buoyancy parameter, temperature ratio parameter, Williamson fluid parameter, and thermal conductivity (variable) parameter on the velocity field, thermal distribution, and pressure profile which are discussed in detail using a graphical approach. The correlation with the literature reveals a satisfactory improvement in the existing results on permeability factors in Williamson fluids.https://www.mdpi.com/2311-5521/6/7/260Williamson fluid modelexponential stretchingporous carved surfacevariable thermal conductivityJoule heatingmixed convective flow |
| spellingShingle | Kamran Ahmed Waqar A. Khan Tanvir Akbar Ghulam Rasool Sayer O. Alharbi Ilyas Khan Numerical Investigation of Mixed Convective Williamson Fluid Flow Over an Exponentially Stretching Permeable Curved Surface Fluids Williamson fluid model exponential stretching porous carved surface variable thermal conductivity Joule heating mixed convective flow |
| title | Numerical Investigation of Mixed Convective Williamson Fluid Flow Over an Exponentially Stretching Permeable Curved Surface |
| title_full | Numerical Investigation of Mixed Convective Williamson Fluid Flow Over an Exponentially Stretching Permeable Curved Surface |
| title_fullStr | Numerical Investigation of Mixed Convective Williamson Fluid Flow Over an Exponentially Stretching Permeable Curved Surface |
| title_full_unstemmed | Numerical Investigation of Mixed Convective Williamson Fluid Flow Over an Exponentially Stretching Permeable Curved Surface |
| title_short | Numerical Investigation of Mixed Convective Williamson Fluid Flow Over an Exponentially Stretching Permeable Curved Surface |
| title_sort | numerical investigation of mixed convective williamson fluid flow over an exponentially stretching permeable curved surface |
| topic | Williamson fluid model exponential stretching porous carved surface variable thermal conductivity Joule heating mixed convective flow |
| url | https://www.mdpi.com/2311-5521/6/7/260 |
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