Effects Of Non-Uniform Slot Injection (Suction) Into Two Dimensional Mhd Boundary Layer Flow With Temperature Dependent Viscosity
Department of Mathematics, Maharani’s Science College for Women, Mysore – 570 005, India
Department of Mathematics, PES College of Engineering, Mandya – 571 401, India.
Department of Mathematics, PES College of Engineering, Mandya – 571 401, India. E-mail: firstname.lastname@example.org
In this paper, we study the effect of slot injection (suction) into a steady, two-dimensional laminar boundary layer flow with temperature dependent viscosity and an applied magnetic field. The fluid viscosity is assumed to vary as inverse linear function of temperature. Non-similar solutions have been obtained from the starting point of the streamwise co-ordiante to the exact point of separation. The difficulties arising at the starting point of the streamwise co-ordinate, at the edges of the slot and at the point of separation have been overcome by applying an implicit finite difference scheme with the quasi-linearization technique and an appropriate selection of finer step size along the streamwise direction. Numerical results are presented graphically to display the effect of temperature dependent viscosity, magnetic field and slot injection (suction) on skin friction and heat transfer coefficients. The results indicate that magnetic field and temperature dependent viscosity increases both skin friction and heat transfer coefficients. And, it is found that the boundary layer separation can be delayed by non-uniform slot suction and also by moving the slot downstream whereas, non-uniform slot injection does the reverse effect. Further, in the case of suction the momentum as well as thermal boundary layer thickness decrease while the slot injection does the opposite.
Keywords: Magnetic field, temperature dependent viscosity, skin friction, heat transfer, Slot injection (suction).
International eJournal of Mathematics and Engineering
Volume 2, Issue 4, Pages: 1301 - 1312