Viscous Dissipation and Chemical Reaction on Radiate MHD Casson Nanofluid Past a Stretching Surface with a Slip Effect

Document Type : Full Lenght Research Article

Authors

1 Department of Mathematics, Osmania University College for Women, Koti, Hyderabad, Telangana, India

2 Department of Mathematics, GITAM University, Hyderabad, Telangana, India

3 Department of Humanities and Sciences (Mathematics), CVR College of Engineering, Hyderabad, Telangana, India

4 Department of Mathematics, St. Ann’s College for Women, Hyderabad, Telangana, India

Abstract

This article explains the MHD Casson nanofluid flow in the presence of chemical reaction coefficient past a linear stretching surface along with the slip condition. Mainly, the analysis of heat and mass transfer in the presence of Brownian motion and the thermophoretic diffusion effect is performed. Mathematical modeling for the law of conservation of mass, momentum, hear and concentration of nanoparticles is executed. Governing nonlinear partial differential equations are transformed into the dimensionless nonlinear ordinary differential equations by using appropriate transformations. To achieve numerical solution for the considered model, shooting technique and Adams-Moulton method of fourth order are used to obtain the numerical results via the computational program language FORTRAN. Comparison between the obtained results and previous works are well in agreement was observed. For the velocity, temperature, and concentration profiles, numerical computations are conducted. The effects slip parameter, velocity ratio parameter, Casson parameter, Casson parameter taken the problem. Numerical values of the local skin-friction, Nusselt number and nanoparticle Sherwood number are computed and analyzed. It is noted that the skin-friction coefficient decreases for the larger values of velocity ratio parameter, slip parameter, and increases with an increasing value of Casson parameter. It is also found that enhancing the chemical reaction parameter leads to decrease in concentration profile. In addition, physical quantities of absorption like skin friction, local Nusselt and Sherwood numbers are also shown graphically.

Keywords

Main Subjects

References

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History

  • Receive Date: 10 September 2023
  • Revise Date: 04 January 2024
  • Accept Date: 04 January 2024

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