Significance of cross diffusion and uneven heat source/sink on the variable reactive 2D Casson flowing fluid through an infinite plate with heat and Ohmic dissipation

ABSTRACT

This research work is focused on nonlinear mathematical model of non-Newtonian Casson fluid using Runge-Kutta method via shooting technique. The solutions to the momentum velocity profiles, heat transfer energy and mass transfer concentration profiles are carried out. Applying similarity transformations, the partial derivative model is transmuted to ordinary derivative equations and then solved utilizing shooting scheme combined with Runge-Kutta integration technique by a mathematical software MAPLE. The graphical results are plotted for various physical parameters under different effects. Also, the computed outcomes are compared with earlier published works and found that there is a good correlation between them. The outcomes show that radiation and magnetic field increased heat distribution and reaction index induced Casson reacting species. An enhancement in the Dufour number leads temperatures to accelerate and also leads to system blow-up if not appropriately managed. Further the Soret number yields higher distributions of solutal density. The recent research explores the cumulative aspects of various physical applications on the non-Newtonian Casson liquid over a vertical surface, which has impressive technical and industrial science characteristics.

KEYWORDS:

• Casson fluid
• heat dissipation
• ohmic dissipation
• uneven heat source/sink
• cross-diffusion
• variable reactive species

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Notes on contributors

M. Sunder Ram

Dr. M. Sunder Ram obtained his B.Sc Degree in Mathematics from Kakatiya University and Masters of Science in Applied Mathematics from Regional Engineering College Warangal, Kakatiya University. He obtained his doctorate degree in Mathematics from Kakatiya University in the area of Fluid Dynamics. Currently his research interest is Fluid Mechanics, Porous medium Heat and Mass transfer with applications. He is a researcher by passion with strong mentally and analytical thoughts. He has several national and international publications in reputed journals.

N. Ashok

Mr. N. Ashok obtained his B. Sc Degree in Mathematics from Kakatiya University and Master of Science in Mathematics from Kakatiya University. He his obtained PGDCA from Kakatiya University Warangal. He is a Research scholar in Mathematics in the area of Fluid Dynamics.

S.O. Salawu

Dr. S.O. Salawu obtained his first degree in Pure and Applied Mathematics from Ladoke Akintola University of technology, Ogbomoso and Master of Science in Applied Mathematics from University of Lagos, Akoka. He obtained his doctorate degree in Applied Mathematics from University of Ilorin, Ilorin, Nigeria. He is a Nigerianacademic in Applied Mathematics at Landmark University, Nigeria. Currently, his research interest is in fluid mechanics, reactive combustion, and heat and mass transfer with its applications. He is a seasoned researcher with strong mentality and sound analytical mind, and he has contributed tremendously in his core areas of research. He has several national and international publications in reputable journals to his credits, and belong to many academic associations both national and international. He has reviewed several research articles and books for many journals and publishers.

MD. Shamshuddin

Dr. MD. Shamshuddin has completed his Masters in Mathematics from Osmania University in the year 2002; and also completed his M. Phil from Sri Venkateswara University in the year 2010. He received his prestigious PhD degree in Applied Mathematics at GITAM Deemed to be University, Andhra Pradesh in the year 2019. He has published more than 95 International repute articles through various journals and Conferences. Currently, his research interest is in fluid mechanics, magnetofluid dynamics, micropolar fluid, nanofluid and hybrid nanofluids and heat and mass transfer with its applications. He is a seasoned researcher with strong mentality and sound analytical mind, and he has contributed tremendously in his core areas of research. He has reviewed several research articles for many journals and publishers.