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Starlikeness and convexity of certain integral operators defined by convolution

Aggarwal J., Mathur R.

Journal of Mathematics and Applications

2015

Vol. 38

5--13

We define two new general integral operators for certain analytic functions in the unit disc U and give some sufficient conditions for these integral operators on some subclasses of analytic functions.

Effect of magnetic field and heat generation/absorption on free convection along semi-infinite vertical porous plate

Tak S. S., Gehlot R. K., Mathur R.

International Journal of Applied Mechanics and Engineering

2010

Vol. 15, no 1

237-248

Heat and momentum transfer in the case of a steady free convection flow along a semi-infinite vertical porous/non-porous plate in the presence of a uniform transverse magnetic field and uniform heat generation/absorption have been investigated. Non-similar solutions of the governing equations have been obtained by taking series expansions of stream function and temperature function. The resulting set of non-linear coupled ordinary differential equations with the appropriate boundary conditions has been solved numerically, using Newton's shooting technique. Numerical values of functions that correspond to the local wall shear stress and the rate of surface heat transfer are tabulated. The velocity function, temperature function, local skin-friction and local Nusselt number are shown graphically for various values of parameters involved and discussed in detail.