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Effects of pressure work over a semi-infinite vertical oscillating cylinder

Sarojini A., Palani G.

International Journal of Applied Mechanics and Engineering

2021

Vol. 26, no. 1

215--225

An arithmetical methodology is used to study natural convection with properties of pressure work over a semi-infinite vertical oscillating cylinder. The governing partial differential equations are set up and the resulting equations are changed into a non-dimensional form using the proper non-dimensional quantities. The set of non-dimensional partial differential equations is solved arithmetically using a well-organized method known as the Crank-Nicolson method. The velocity, as well as temperature profiles for different values of parameters are studied with the assistance of graphs.

Unsteady MHD natural convective boundary layer flow and heat transfer over a truncated cone in the presence of pressure work

Ajay C. K., Srinivasa A. H.

Journal of Applied Mathematics and Computational Mechanics

2020

Vol. 19, nr 1

5--16

The aim of the present paper is to analyse the effect of MHD on unsteady natural convection boundary layer flow and heat transfer over a truncated cone in the presence of pressure work. Suitable transformation is utilized to form a system of coupled non-linear partial differential equations for governing both the flow and heat transfer. These equations have been solved numerically by utilizing an implicit finite difference scheme along with quasilinearization method. Here, the computed numerical results are displayed graphically in terms of the local Nusselt number, skin friction, temperature distribution, and velocity distribution for various values of the magnetic and pressure work parameters along with the fixed Prandtl number

Some free convection flows over a stretching cone embedded in porous media

Mansour M. A., Aly A. M., El-Anssary N. F.

International Journal of Applied Mechanics and Engineering

2009

Vol. 14, no 3

799-812

Laminar free convection from a stretching cone embedded in porous media with the effects of pressure work and chemical reaction is considered. The governing partial differential equations have been transformed by a similarity transformation into a system of ordinary differential equations, which are solved numerically using a fourth order Runge-Kutta scheme with the shooting method. The results are displayed graphically to illustrate the influences of the parameters characterizing the chemical reaction parameter, pressure work parameter and buoyancy ratio on the velocity, temperature and concentration fields for boundary conditions, namely an isothermal surface, a uniform heat surface and a vertical adiabatic surface.