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2 2018

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Combined effects of Soret and Dufour on MHD flow of a power-law fluid over flat plate in slip flow rigime

Saritha K., Rajasekhar M. N., Reddy B. S.

International Journal of Applied Mechanics and Engineering

2018

Vol. 23, no. 3

689--705

A numerical model is developed to study the Soret and Dufour effects on MHD boundary layer flow of a power-law fluid over a flat plate with velocity, thermal and solutal slip boundary conditions. The governing equations for momentum, energy and mass are transformed to a set of non-linear coupled ordinary differential equations by using similarity transformations. These non-linear ordinary differential equations are first linearized using a quasi-linearization technique and then solved numerically based on the implicit finite difference scheme over the entire range of physical parameters with appropriate boundary conditions. The influence of various governing parameters along with velocity, thermal and mass slip parameters on velocity, temperature and concentration fields are examined graphically. Also, the effects of slip parameters, the Soret and Dufour number on the skin friction, Nusselt number and Sherwood number are studied. Results show that the increase in the Soret number leads to a decrease in the temperature distribution and to an increase in concentration fields.

On existence of mild and classical solutions of second order impulsive implicit differential equations

Jain R. S., Reddy B. S., Kadam S. D.

Fasciculi Mathematici

2018

Nr 61

71--81

In this paper, we establish the existence and uniqueness results of mild and classical solutions for impulsive implicit second order differential equations with nonlocal condition by using contraction principle. Furthermore, we give an example to illustrate our results.