Thermo-diffusion and chemical reaction effect on MHD oscillatory flow of viscoelastic fluid in an asymmetric wavy channel under the influence of magnetic field

  • P Vaidehi Department of Mathematics, College of Engineering and Technology, Faculty of Engineering and Technology, SRM Institute of Science and Technology, SRM Nagar, Kattankulathur - 603203, Chengalpattu District, Tamil Nadu, India.
  • J Sasikumar Department of Mathematics, College of Engineering and Technology, Faculty of Engineering and Technology, SRM Institute of Science and Technology, SRM Nagar, Kattankulathur - 603203, Chengalpattu District, Tamil Nadu, India.

Abstract

This paper deals with the effect of thermo-diffusion on unsteady MHD oscillatory flow of viscoelastic fluid in an asymmetric wavy channel when a magnetic field and heat source are applied externally. The need for this study derives from the fact that most industrial fluids exhibit viscoelastic behavior. The dimensionless equations governing the fluid flow properties with respect to the boundary conditions are solved analytically and exact solutions obtained. Increasing values of viscoelastic parameter, Hartmann number and chemical reaction parameter reduce the fluid velocity profile, while the radiation parameter, thermo-diffusion effect and influence of the heat source enhance the fluid low. The influence of flow parameters on velocity, temperature, and concentration profiles, skin friction coefficient, heat and mass transfer rate is discussed and graphically depicted. The values of skin friction coefficient and mass transfer rate for various physical parameters are tabulated. Finally, the findings of the current study have been compared to those of earlier studies. The comparison is seen to bear a good agreement.

Author Biographies

P Vaidehi, Department of Mathematics, College of Engineering and Technology, Faculty of Engineering and Technology, SRM Institute of Science and Technology, SRM Nagar, Kattankulathur - 603203, Chengalpattu District, Tamil Nadu, India.

Research Scholar,

Department of Mathematics,

College of Engineering and Technology, Faculty of Engineering and Technology,

SRM Institute of Science and Technology,  SRM Nagar, Kattankulathur - 603203.

J Sasikumar, Department of Mathematics, College of Engineering and Technology, Faculty of Engineering and Technology, SRM Institute of Science and Technology, SRM Nagar, Kattankulathur - 603203, Chengalpattu District, Tamil Nadu, India.

Assistant Professor,

Department of Mathematics,

College of Engineering and Technology, Faculty of Engineering and Technology,

SRM Institute of Science and Technology, SRM Nagar, Kattankulathur - 603203.

Published
2023-05-15