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

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.

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Abbreviations

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

q 0 :

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

V 0 :

surface mass flux

x :

axial distance

y :

normal distance

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

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Correspondence to M. A. Hossain.

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M. A. Hossain is on leave of absence from University of Dhaka.

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Mahmood, M., Asghar, S. & Hossain, M.A. Squeezed flow and heat transfer over a porous surface for viscous fluid. Heat Mass Transfer 44, 165–173 (2007). https://doi.org/10.1007/s00231-006-0218-3

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Keywords

  • Heat Transfer
  • Heat Transfer Coefficient
  • Thermal Boundary Layer
  • Local Nusselt Number
  • Sensor Surface