Heat and Mass Transfer

, Volume 44, Issue 2, pp 165–173

Squeezed flow and heat transfer over a porous surface for viscous fluid

Original

DOI: 10.1007/s00231-006-0218-3

Cite this article as:
Mahmood, M., Asghar, S. & Hossain, M.A. Heat Mass Transfer (2007) 44: 165. doi:10.1007/s00231-006-0218-3

Abstract

Flow and heat transfer over a permeable sensor surface placed in a squeezing channel is analyzed. A constant transpiration through the sensor surface is assumed. Locally non-similar momentum and energy equations are solved by three different methods, against the transpiration parameter τ, for different values of the squeezing parameter b, and Prandtl number Pr. From the investigation, it is found that when the channel being squeezed, the skin-friction reduces but the heat transfer coefficient increases. Increase in the value of the squeezing parameter onsets reverse flow at the sensor surface when fluid is being injected and the affect is enhanced with the increase of injection through the surface. It is further observed that increase of suction of fluid through the sensor thins the thermal and the momentum boundary layer regions, whereas injection of fluid leads to thickening of both the thermal and the momentum boundary layer regions. Heat transfer from the surface of the sensor increases with the increase of the value of Pr for the entire range of surface mass-flux parameter τ.

List of symbols

a

squeeze flow strength

b

index of the squeeze flow

f

transformed stream function

h

height of the channel

k

fluid thermal conductivity

Nu

Nusselt number

Pr

fluid Prandtl number

q

heat flux

q0

reference heat flux

Re

free stream Reynolds number

T

fluid temperature

T

free stream temperature

t

time

U

free stream velocity

τw

shear stress at the surface

u

dimensional axial velocity

v

dimensional normal velocity

V0

surface mass flux

x

axial distance

y

normal distance

Greek symbols

α

fluid thermal diffusivity

η

similarity transformation in terms of y and x

μ

fluid dynamic viscosity

θ

transformed fluid temperature

ρ

fluid density

ν

kinematic viscosity

ψ

stream function

τ

transpiration parameter

Copyright information

© Springer-Verlag 2007

Authors and Affiliations

  1. 1.Department of MathematicsCOMSATS Institute of Information TechnologyIslamabadPakistan
  2. 2.Department of MathematicsUniversity of DhakaDhakaBangladesh