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Heat and Mass Transfer

, Volume 44, Issue 4, pp 463–472 | Cite as

Heat transfer in circular microchannels during volumetric heating with magnetic field

  • Muhammad M. RahmanEmail author
  • Abdullatif A. Gari
  • Shantanu Shevade
Original

Abstract

Convective heat transfer within circular microchannels in a rectangular solid substrate with heat generation due to imposed magnetic field was studied. A detailed parametric study was performed by varying Reynolds number, magnetic field strength, working fluid, and the diameter of the channel. It was found that the heat transfer coefficient decreases downstream along the channel. Nusselt number increased with Reynolds number. The tube diameter, properties of the working fluid, and magnetic field strength affected the temperature distribution and heat transfer rate at the solid-fluid interface.

Keywords

Reynolds Number Heat Transfer Coefficient Nusselt Number Interface Temperature Heat Generation Rate 
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

d

channel diameter, m

D

dimensionless channel diameter, d/H

go

heat generation rate, W/m3

G

magnetic field strength, T

h

heat transfer coefficient, W/m2-K

H

height of the substrate, m

k

thermal conductivity, W/m-K

L

channel length, m

nx

number of intervals in x-direction

ny

number of intervals in y-direction

nr

number of intervals in r-direction within the tube

nz

number of intervals in z-direction

p

pressure, Pa

r

distance in radial direction, m

Re

Reynolds number, Vd/ν

S

volume of the solid substrate, m3

T

temperature, °C

V

Average velocity of fluid in the channel, m/s

W

half of the tube spacing, m

x

distance along x-direction, m

y

distance along y-direction, m

z

distance along z-direction, m

Z

dimensionless distance along axial direction, z/L

Greek symbols

α

thermal diffusivity, m2/s

ρ

density, kg/m3

ν

kinematic viscosity, m2/s

ϕ

angular coordinate, radian

θ

dimensionless temperature, (TT in)/[(g o ·S)/(k s ·L)]

Subscripts

f

fluid

in

inlet

max

maximum

r

radial

s

solid

z

axial

ϕ

angular

Notes

Acknowledgments

The authors would like to acknowledge financial support received from NASA under grant number NAG3-2751.

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Copyright information

© Springer-Verlag 2007

Authors and Affiliations

  • Muhammad M. Rahman
    • 1
    Email author
  • Abdullatif A. Gari
    • 1
  • Shantanu Shevade
    • 1
  1. 1.University of South FloridaTampaUSA

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