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In this study we examine the effect of the magnetic field parameter on the growth rate of the Rayleigh-Taylor instability (RTI) in a couple stress fluids. A simple theory based on fully developed flow approximations is used to derive the dispersion relation for the growth rate of the RTI. The general dispersion relation obtained using perturbation equations with appropriate boundary conditions will...
In the present paper, a viscoelastic boundary layer flow and heat transfer over an exponentially stretching continuous sheet in the presence of a heat source/sink has been examined. Loss of energy due to viscous dissipation of the non-Newtonian fluid has been taken into account in this study. Approximate analytical local similar solutions of the highly non-linear momentum equation are obtained for...
In this present paper, we have discussed the effects of viscous dissipation and thermal radiation on heat transfer over a non-linear stretching sheet through a porous medium. Usual similarity transformations are considered to convert the non-linear partial differential equation of motion and heat transfer into ODE’s. Solutions of motion and heat transfer are obtained by the Runge-Kutta integration...
This work is concerned with the analysis of a two dimensional flow of a viscoelastic fluid (Walters' liquid B) induced by a shrinking sheet. The governing partial differential equations are first reduced to ordinary nonlinear differential equations by using the appropriate similarity transformation. An exponential solution is assumed to solve the considered boundary value problem. The effects of governing...
An analysis has been carried out to study the steady viscoelastic hydromagnetic flow and heat transfer in a visco-elastic liquid flow over an exponentially stretching sheet with consideration of viscous dissipation. A zeroth order analytical local similar solution of the highly non-linear stream function equation and confluent hypergeometric solution of the heat transfer equation is obtained by converting...
This paper presents an analytical study of a steady boundary layer visco-elastic liquid flow over a non-isothermal stretching sheet embedded in a porous medium in the presence of non-uniform heat generation / absorption. The stretching of the sheet is assumed to be proportional to the perpendicular distance from the slit. Two different temperature conditions are considered, viz., (i) the sheet with...
A theoretical study of heat transfer in a visco-elastic liquid flow due to a stretching sheet in the presence of non-uniform heat generation / absorption is investigated. The stretching of the sheet is assumed to be proportional to the perpendicular distance from the slit. Two different temperature conditions are studied, viz., (i) the sheet with the prescribed surface temperature (PST) and (ii) the...
This paper presents the influences of space and temperature dependent fluid properties on the hydromagnetic boundary layer flow of a viscoelastic liquid and heat transfer over a continuously stretching sheet, with variable thermal conductivity, in the presence of a space and temperature dependent heat source/sink. The thermal conductivity is assumed to vary as a linear function of temperature. A suitable...
The present paper deals with the study of momentum and heat transfer characteristics in a visco-elastic fluid flow over an impermeable stretching sheet. Where the flow is generated due to linear stretching of the sheet and influenced by a uniform magnetic field applied vertically in the flow region. Heat balance is maintained with a non-uniform heat source/sink, viscous dissipation and thermal radiation...
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