Magnetohydrodynamic Stagnation Point Flow and Heat Transfer of Casson Fluids Over a Stretching Sheet

Authors

  • Srikantha Setty B Department of Mathematics, Marri Laxman Reddy Institute of Technology &Management, Dundigal, Hyderabad – 500 043, India
  • Mani Ramanuja Department of Mathematics, Marri Laxman Reddy Institute of Technology &Management, Dundigal, Hyderabad – 500 043, India
  • Gopi Krishna G Department of Mathematics, Marri Laxman Reddy Institute of Technology &Management, Dundigal, Hyderabad – 500 043, India
  • Hanumesh Vaidya Department of Mathematics, Vijayanagara Sri Krishnadevaraya University, Ballari: 583105, Karnataka, India
  • K Vinayaka Prasad Department of Mathematics, Vijayanagara Sri Krishnadevaraya University, Ballari: 583105, Karnataka, India
  • Rajashekhar Choudhari Department of Mathematics, Manipal Institute of Technology Bengaluru, Manipal Academy of Higher Education, Manipal, Karnataka, India
  • Ashwini Bhat Department of Mathematics, Manipal Institute of Technology, Manipal Academy of Higher Education, Manipal, India
  • Nagaraj N Katagi Department of Mathematics, Manipal Institute of Technology, Manipal Academy of Higher Education, Manipal, India

DOI:

https://doi.org/10.37934/cfdl.17.2.163178

Keywords:

Magnetohydrodynamics (MHD), Casson fluid, Thermal conductivity, Radiation, Optimal Homotopy Analysis Method (OHAM)

Abstract

This research investigates the effects of heat transfer on the stagnation-point flow of a non-Newtonian Casson fluid in a two-dimensional magnetohydrodynamic (MHD) boundary layer over a stretched sheet, considering thermal radiation impacts. By employing similarity transformations, the governing partial differential equations are transformed into nonlinear ordinary differential equations. The obtained self-similar equations are numerically solved using the Optimal Homotopy Analysis Method (OHAM). The numerical results are graphically represented, showcasing the influence of various parameters on fluid flow and heat transfer characteristics. The study uncovers important dynamics in transport phenomena. Examining and illustrating the effects of dimensionless parameters on velocity, temperature, and concentration profiles reveal significant insights. Moreover, skin friction and Nusselt number results for Casson fluids are analyzed and presented. The findings indicate that the Casson parameter and Hartman number act in opposition to fluid momentum, while the thermal conductivity parameter enhances fluid temperature. Thus, this research provides valuable insights into MHD boundary layer flows of non-Newtonian Casson fluids with thermal radiation effects, and the OHAM solution method proves effective in predicting flow transport properties.

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Author Biographies

Srikantha Setty B , Department of Mathematics, Marri Laxman Reddy Institute of Technology &Management, Dundigal, Hyderabad – 500 043, India

settykarur89@gmail.com

Mani Ramanuja , Department of Mathematics, Marri Laxman Reddy Institute of Technology &Management, Dundigal, Hyderabad – 500 043, India

maniramanuja@mlritm.ac.in

Gopi Krishna G, Department of Mathematics, Marri Laxman Reddy Institute of Technology &Management, Dundigal, Hyderabad – 500 043, India

drgopikrishnag@gmail.com

Hanumesh Vaidya , Department of Mathematics, Vijayanagara Sri Krishnadevaraya University, Ballari: 583105, Karnataka, India

hvaidya@vskub.ac.in

K Vinayaka Prasad, Department of Mathematics, Vijayanagara Sri Krishnadevaraya University, Ballari: 583105, Karnataka, India

prasadkv2007@gmail.com

Rajashekhar Choudhari, Department of Mathematics, Manipal Institute of Technology Bengaluru, Manipal Academy of Higher Education, Manipal, Karnataka, India

rv.choudhari@manipal.edu

Ashwini Bhat, Department of Mathematics, Manipal Institute of Technology, Manipal Academy of Higher Education, Manipal, India

Ashwini.bhat@manipal.edu

Nagaraj N Katagi, Department of Mathematics, Manipal Institute of Technology, Manipal Academy of Higher Education, Manipal, India

nn.katagi@manipal.edu

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Published

2024-09-30

How to Cite

Setty B , S., Ramanuja , M., Krishna G, G., Vaidya , H., Prasad, K. V. ., Choudhari, R., Bhat, A. ., & N Katagi, N. (2024). Magnetohydrodynamic Stagnation Point Flow and Heat Transfer of Casson Fluids Over a Stretching Sheet. CFD Letters, 17(2), 163–178. https://doi.org/10.37934/cfdl.17.2.163178

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