Radiative Unsteady Rarefied Gaseous Flow Over a Stretching Sheet with Velocity Slip and Temperature Jump Effects


Affiliations

  • National Institute of Technology Warangal, Department of Mechanical Engg, Yupia, Arunachal Pradesh, India
  • Sri Ramakrishna Mission Vidyalaya, College of Arts and Science, Department of Mathematics, Coimbatore, Tamil Nadu, 641 020, India
  • Providence College for Women, Department of Mathematics, Coonoor, Tamil Nadu, 643 104, India

Abstract

In this study a mathematical analysis has been carried out to scrutinize the unsteady boundary layer flow of an incompressible, rarefied gaseous flow over a vertical stretching sheet with velocity slip and thermal jump boundary conditions in the presence of thermal radiation. Using boundary layer approach and suitable similarity transformations, the governing partial differential equations with the boundary conditions are reduced to a system of non-linear ordinary differential equations. The resulting non-linear ordinary differential equations are solved with the help of fourth order Runge-Kutta method with shooting technique. The results obtained for the velocity profile, temperature profile, skin friction coefficient and the reduced Nusselt number are described through graphs. It is predicted that the velocity and temperature profiles are lower for unsteady flow and has an opposite effect for steady flow.

Keywords

Microfluidics; boundary layer; velocity slip and thermal jump; shooting technique; rarefied gas flow

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References

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