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Heat transfer in stagnation-point flow of a Jeffrey fluid past a lubricated surface

  • Khalid Mahmood
  • Muhammad Noveel SadiqEmail author
  • Muhammad Sajid
  • Nasir Ali
Technical Paper
  • 32 Downloads

Abstract

In this manuscript, heat transfer in flow of Jeffrey fluid past a lubricated surface near a stagnation point is considered. A shear-thinning (power-law) fluid is utilized for the lubrication purpose. The interfacial conditions are developed by applying the continuity of velocity and shear stress of Jeffrey and power-law fluids. Similarity solutions are obtained by selecting power-law index as 0.5. Approximate numerical results are achieved using Keller box scheme. Effects of involved parameters in the presence of lubrication are expressed by graphs and tables. It is found that the lubricant enhances the effects of the retardation parameter while opposes the ratio parameter effects. The temperature is reduced in the presence of the lubricant.

Keywords

Power-law fluid Jeffrey fluid Interfacial conditions Stagnation-point flow Keller box method Heat transfer 

List of symbols

Q

Flow rate

P

Fluid pressure

δ

Thickness of lubrication layer

x, y

Rectangular coordinates

u, v

Velocity components of Jeffrey fluid in horizontal and vertical direction

U, V

Velocity components of power-law fluid in horizontal and vertical direction

Ue

Free stream velocity

λ

Time relaxation-to-retardation ratio

n

Flow behavior index of power-law fluid

k1

Consistency coefficient of power-law fluid

\(\mu_{\text{L}}\)

Viscosity of power-law fluid

α1

Thermal diffusivity

β

Deborah number

α

Slip parameter

Pr

Prandtl number

λ1

The retardation parameter

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Copyright information

© The Brazilian Society of Mechanical Sciences and Engineering 2019

Authors and Affiliations

  • Khalid Mahmood
    • 1
  • Muhammad Noveel Sadiq
    • 1
    Email author
  • Muhammad Sajid
    • 1
  • Nasir Ali
    • 1
  1. 1.Department of Mathematics and StatisticsInternational Islamic UniversityIslamabadPakistan

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