The unsteady free convection and mass transfer boundary layer flow past an accelerated infinite vertical porous plate by taking into account the viscous dissipation is considered when the plate accelerates in its own plane. The dimensionless momentum, energy and concentration equation in the presence of uniform transverse magnetic field has been solved analytically by perturbation technique. The usual similar transformations are applied to the steady momentum, energy and concentration equations and we obtained a set of ordinary differential equations. Then the solutions of the problem of the ordinary differential equations are obtained by using perturbation technique. The expression for velocity field, temperature field, concentration field, skin friction, Nusselt number (Nu) and Sherwood number (Sh) has been found. The results are discussed in detailed with the help of graphs to observe the effect of different parameters.
Inhaltsverzeichnis (Table of Contents)
- I. INTRODUCTION
- I. The governing equation
- II. Solution of the problem
Zielsetzung und Themenschwerpunkte (Objectives and Key Themes)
This research investigates the unsteady free convection and mass transfer boundary layer flow over a vertical plate with heat source, considering the effects of viscous dissipation. The study aims to analyze the flow field, temperature distribution, and concentration field under the influence of various parameters, including the magnetic field, porous medium, and heat generation.
- Unsteady free convection and mass transfer flow
- Viscous dissipation effects
- Boundary layer flow over a vertical plate
- Influence of magnetic field and porous medium
- Heat source and its impact on the flow field
Zusammenfassung der Kapitel (Chapter Summaries)
I. INTRODUCTION
This chapter introduces the problem of unsteady free convection and mass transfer flow past an accelerated infinite vertical porous plate with heat source. The governing equations for the flow field, temperature distribution, and concentration field are presented. The study highlights the significance of viscous dissipation and its impact on the flow dynamics. It also provides a brief overview of relevant previous research on similar topics.
I. The governing equation
This chapter focuses on the derivation of the governing equations for the flow, energy, and concentration fields. The equations are based on the principles of conservation of mass, momentum, and energy. The chapter explains the assumptions made in the derivation and introduces the relevant dimensionless parameters.
II. Solution of the problem
This chapter presents the analytical solution of the governing equations using the perturbation technique. The solution provides expressions for the velocity, temperature, and concentration fields, along with the skin friction, Nusselt number, and Sherwood number. The chapter aims to analyze the impact of various flow parameters on the flow characteristics.
Schlüsselwörter (Keywords)
The primary keywords and focus topics of this study include unsteady free convection, mass transfer, viscous dissipation, boundary layer flow, vertical plate, heat source, magnetic field, porous medium, perturbation technique, and analytical solution.
- Quote paper
- Rubel Ahmed (Author), B.M. Jewel Rana (Author), S.F. Ahmed (Author), 2015, Analytical solution of the MHD free convective unsteady flow over a vertical plate with heat source, Munich, GRIN Verlag, https://www.hausarbeiten.de/document/295132
