Indian Journal of Engineering & Materials Sciences

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Effect of Porosity on Hydromagnetic Boundary Layer Flow with Forced Convective Heat Transfer


Affiliations
1 Department of Mathematics, Malaviya National Institute of Technology Jaipur 302 017, India
2 Department of Mathematics, Sanjay Ghodawat International School, Kolhapur 416 118, India
3 Directorate of Online Education, Manipal University, Jaipur 303 007, India
4 Department of Physics, Government College, Matak-Majri Indri, Karnal 132 041, India
5 Department of Physics, Chaudhary Devi Lal University, Sirsa 125 055, India
6 Faculty of Military Science, Stellenbosch University, Matieland 7602, South Africa
 

A numerical investigation has been carried out to analyse the effect of porosity with forced convective heat transfer on steady ferrohydrodynamic (FHD) flow for water-based magnetic nanofluid over a rotating disk. The governing nonlinear coupled partial differential equations together with the boundary conditions are non-dimensionalized into a non-linear system for ordinary differential equations taking Karman’s transformations. Further, the numerical solutions are obtained using the power series approximations method and presented for the velocity, temperature and skin friction profiles through graphs. For a wide range of applicability, magnetic nanofluids having Prandtl numbers ranging from 12.3 to 44.3 are taken into consideration which included well-known water-based magnetic nanofluid Taiho-W40. Also, the heat transfer rate from the disk surface, skin frictions and thickness of the boundary layer are discussed. From the results, it is noted that the rise in the porosity of Taiho-W40 enhances the flow motion in tangential as well as in axial directions. Further, there is an improvement in the heat transfer rate towards the outer environment with the increase in the Prandtl number.

Keywords

Magnetic Field, Magnetic Nanofluid, Porosity, Prandtl Number, Rotating Disk.
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  • Effect of Porosity on Hydromagnetic Boundary Layer Flow with Forced Convective Heat Transfer

Abstract Views: 84  |  PDF Views: 51

Authors

K Sharma
Department of Mathematics, Malaviya National Institute of Technology Jaipur 302 017, India
R Goyal
Department of Mathematics, Sanjay Ghodawat International School, Kolhapur 416 118, India
V K Joshi
Directorate of Online Education, Manipal University, Jaipur 303 007, India
S B Bhardwaj
Department of Physics, Government College, Matak-Majri Indri, Karnal 132 041, India
R M Singh
Department of Physics, Chaudhary Devi Lal University, Sirsa 125 055, India
OD Makinde
Faculty of Military Science, Stellenbosch University, Matieland 7602, South Africa

Abstract


A numerical investigation has been carried out to analyse the effect of porosity with forced convective heat transfer on steady ferrohydrodynamic (FHD) flow for water-based magnetic nanofluid over a rotating disk. The governing nonlinear coupled partial differential equations together with the boundary conditions are non-dimensionalized into a non-linear system for ordinary differential equations taking Karman’s transformations. Further, the numerical solutions are obtained using the power series approximations method and presented for the velocity, temperature and skin friction profiles through graphs. For a wide range of applicability, magnetic nanofluids having Prandtl numbers ranging from 12.3 to 44.3 are taken into consideration which included well-known water-based magnetic nanofluid Taiho-W40. Also, the heat transfer rate from the disk surface, skin frictions and thickness of the boundary layer are discussed. From the results, it is noted that the rise in the porosity of Taiho-W40 enhances the flow motion in tangential as well as in axial directions. Further, there is an improvement in the heat transfer rate towards the outer environment with the increase in the Prandtl number.

Keywords


Magnetic Field, Magnetic Nanofluid, Porosity, Prandtl Number, Rotating Disk.

References