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Heat and Mass Transfer

, Volume 48, Issue 6, pp 915–921 | Cite as

Effects of thermal stratification on flow and heat transfer past a porous vertical stretching surface

  • Swati Mukhopadhyay
  • Iswar Chandra Mondal
  • Rama Subba Reddy Gorla
Original

Abstract

The aim of this paper is to present the boundary layer flow of viscous incompressible fluid due to a porous vertical stretching surface with a power-law stretching velocity in a thermally stratified medium. Using a special form of Lie group transformations viz. scaling group of transformations, similarity solutions for this problem are obtained. The equations are then solved numerically. With increasing values of the stratification parameter, the velocity as well as temperature decreases. At a particular point of the porous stretching sheet, the velocity decreases with the increasing suction parameter. The dimensionless temperature at a point of the sheet decreases due to suction but increases due to injection. The findings of this study reveal that stratification and suction can be used as means of cooling the boundary layer flow region.

Keywords

Boundary Layer Wall Shear Stress Prandtl Number Boundary Layer Flow Thermal Boundary Layer 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

List of symbols

F

Non-dimensional stream function

\( F^{*} \)

Variable

\( F^{\prime } \)

Streamwise velocity

Pr

Prandtl number

St

Stratification parameter

T

Temperature of the fluid

Tw

Temperature of the wall of the surface

T

Free-stream temperature

u, v

Components of velocity in x and y directions

z

Variable

Greek symbols

\( \alpha_{1} ,\alpha_{2} ,\alpha_{3} ,\alpha_{4} ,\alpha_{5} ,\alpha_{6} \)

Transformation parameters

β1

Volumetric coefficient of thermal expansion

η

Similarity variable

Γ

Lie-group transformations

κ

The coefficient of thermal diffusivity

μ

Dynamic viscosity

ν

Kinematic viscosity

ψ

Stream function

\( \psi^{*} \)

Variable

ρ

Density of the fluid

θ

Non-dimensional temperature

\( \theta^{*} ,\bar{\theta } \)

Variables

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Copyright information

© Springer-Verlag 2011

Authors and Affiliations

  • Swati Mukhopadhyay
    • 1
  • Iswar Chandra Mondal
    • 1
  • Rama Subba Reddy Gorla
    • 2
  1. 1.Department of MathematicsThe University of BurdwanBurdwanIndia
  2. 2.Department of Mechanical EngineeringCleveland State UniversityClevelandUSA

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