Impact of Variable Viscosity on Heat Transfer in a Horizontal Channel With Uniform Transverse Magnetic Field and Non-Uniform Wall Temperature

Authors

  • Syed Abdul Khadar Jilani Department of Mathematics, Acharya Nagarjuna University, Nagarjuna Nagar, Andhra Pradesh, India https://orcid.org/0009-0008-7854-9657
  • K. S. Balamurugan Department of Mathematics, RVR&JC College of Engineering, Guntur, Andhra Pradesh, India https://orcid.org/0000-0002-8999-5969
  • J. L. Rama Prasad Department of Mathematics, P.B. Siddartha College of Arts and Science, Vijayawada, Andhra Pradesh, India https://orcid.org/0000-0003-3604-5182

DOI:

https://doi.org/10.26713/cma.v16i1.2944

Keywords:

Magnetic field, Variable viscosity, Channel flow, Heat transfer

Abstract

This study reconnoiters variable viscosity fluid flow through horizontal channel with parallel walls imperiled to non-uniform temperature and uniform transverse magnetic field. The governing equations have been solved analytically by perturbation process for velocity and temperature fields. The volume flow rate athwart channel, skin friction, Nusselt number at lower and upper plates are calculated and epitomized the impacts of significant parameters through tables. The verdicts show that velocity, temperature are enhanced by increasing viscosity variation parameter.

Downloads

Download data is not yet available.

References

H. Abubakar, S. Isah and I. J. Uwanta, The effects of variable viscosity on magnetic field intensity with heat, mass transfer over a vertical plate, Vietnam Journal of Science and Technology 60(2) (2022), 270 – 280, DOI: 10.15625/2525-2518/15296.

A. O. Ajibade and M. K. Tafida, The combined effect of variable viscosity and variable thermal conductivity on natural convection couette flow, International Journal of Thermofluids 5-6 (2020), 100036, DOI: 10.1016/j.ijft.2020.100036.

I. L. Animasaun and A. O. Oyem, Effect of variable viscosity, dufour, soret and thermal conductivity on free convective heat and mass transfer of non-darcian flow past porous flat surface, American Journal of Computational Mathematics 4(4) (2014), 357 – 365, DOI: 10.4236/ajcm.2014.44030.

E. I. I. Barakat, Variable viscosity effect on hydromagnetic flow and heat transfer about a fluid underlying the axisymmetric spreading surface, Acta Mechanica 169 (2004), 195 – 202, DOI: 10.1007/s00707-004-0075-4.

M. M. Bhatti and A. Zeeshan, Analytic study of heat transfer with variable viscosity on solid particle motion in dusty Jeffery fluid, Modern Physics Letters B 30(16) (2016), 1650196, DOI: 10.1142/S0217984916501967.

H.-M. Chou, H.-W. Wu, I.-H. Lin, W.-J. Yang and M.-L. Cheng, Effects of temperature-dependent viscosity on natural convection in porous media, Numerical Heat Transfer, Part A: Applications 68(12) (2015), 1331 – 1350 , DOI: 10.1080/10407782.2015.1012864.

J. A. Gbadeyan, E. O. Titiloye and A. T. Adeosun, Effect of variable thermal conductivity and viscosity on Casson nanofluid flow with convective heating and velocity slip, Heliyon 6(1) (2020), e03076, DOI: 10.1016/j.heliyon.2019.e03076.

A. R. Hassan, Thermodynamics analysis of an internal heat generating fluid of a variable viscosity reactive couette flow, Journal of King Saud University – Science 31(4) (2019), 506 – 510, DOI: 10.1016/j.jksus.2018.05.015.

H. Herwig, K. Klemp and J. Stinessbeck, Laminar entry flow in a pipe or channel: Effect of variable viscosity due to heat transfer across the wall, Numerical Heat Transfer, Part A: Applications 18(1) (1990), 51 – 70, DOI: 10.1080/10407789008944783.

B. Jalili, A. A. Azar, P. Jalili and D. D. Ganji, Impact of variable viscosity on asymmetric fluid flow through the expanding/contracting porous channel: A thermal analysis, Case Studies in Thermal Engineering 52 (2023), 103672, DOI: 10.1016/j.csite.2023.103672.

Y. Khan, Q. Wu, N. Faraz and A. Yildirim, The effects of variable viscosity and thermal conductivity on a thin film flow over a shrinking/stretching sheet, Computers & Mathematics with Applications 61(11) (2011), 3391 – 3399, DOI: 10.1016/j.camwa.2011.04.053.

O. D. Makinde, Entropy-generation analysis for variable-viscosity channel flow with non-uniform wall temperature, Applied Energy 85(5) (2008), 384 – 393, DOI: 10.1016/j.apenergy.2007.07.008.

O. D. Makinde, Laminar falling liquid film with variable viscosity along an inclined heated plate, Applied Mathematics and Computation 175(1) (2006), 80 – 88, DOI: 10.1016/j.amc.2005.07.021.

J. R. A. Pearson, Variable-viscosity flows in channels with high heat generation, Journal of Fluid Mechanics 83(1) (2006), 191 – 206, DOI: 10.1017/S0022112077001141.

I. Pop, R. S. R. Gorla and M. Rashidi, The effect of variable viscosity on flow and heat transfer to a continuous moving flat plate, International Journal of Engineering Science 30(1) (1992), 1 – 6, DOI: 10.1016/0020-7225(92)90115-W.

G. M. A.-R. Rashed, Entropy and radiation on a pipe MHD flow with variable viscosity, Heat Transfer 50(2) (2021), 1697 – 1711, DOI: 10.1002/htj.21948.

D. J. Samuel and I. A. Fayemi, Impacts of variable viscosity and chemical reaction on Ohmic dissipative fluid flow in a porous medium over a stretching sheet with thermal radiation, Heat Transfer 52(7) (2023), 5022 – 5040, DOI: 10.1002/htj.22915.

H. Schlichting and K. Gersten, Boundary-Layer Theory, Springer, Berlin — Heidelberg, xxiii + 799 pages (2000), DOI: 10.1007/978-3-642-85829-1.

A. Setayesh and V. Sahai, Heat transfer in developing magnetohydrodynamic Poiseuille flow and variable transport properties, International Journal of Heat and Mass Transfer 33(8) (1990), 1711 – 1720, DOI: 10.1016/0017-9310(90)90026-Q.

S. Shateyi and S. Motsa, Variable viscosity on magnetohydrodynamic fluid flow and heat transfer over an unsteady stretching surface with hall effect, Boundary Value Problems 2010 (2010), 257678, DOI: 10.1155/2010/257568.

M. S. Tshehla, The flow of a variable viscosity fluid down an inclined plane with a free surface, Mathematical Problems in Engineering 2013(1) (2013), 754782, 8 pages, DOI: 10.1155/2013/754782.

M. S. A. Zaytoon and M. H. Hamdan, Fluid mechanics at the interface between a variable viscosity fluid layer and a variable permeability porous medium, WSEAS Transactions on Heat and Mass Transfer 16 (2021), 159 – 169, DOI: 10.37394/232012.2021.16.19

Downloads

Published

01-07-2025
CITATION

How to Cite

Jilani, S. A. K., Balamurugan, K. S., & Prasad, J. L. R. (2025). Impact of Variable Viscosity on Heat Transfer in a Horizontal Channel With Uniform Transverse Magnetic Field and Non-Uniform Wall Temperature. Communications in Mathematics and Applications, 16(1), 315–326. https://doi.org/10.26713/cma.v16i1.2944

Issue

Section

Research Article