Steady laminar forced convection heat transfer in the thermal entrance region of concentric annuli has been studied considering viscous dissipation characterized by the Brinkman number. The inner and outer pipes have been kept at constant and equal temperature. Two cases of entry temperatures have been considered, case 1: an entry temperature that varies with the radial coordinate, obtained by an adiabatically prepared fluid, i.e., attained by the fluid due to viscous dissipation in an adiabatic concentric annular duct and case 2: the conventional uniform entry temperature. The numerical results presented include the nondimensional temperature profiles, Nusselt numbers, and heat transferred from (or to) the inner and outer pipes. It has been shown from the numerical solutions that it is necessary to employ the dissipative entry temperature in place of conventional uniform entry temperature for higher Brinkman numbers. The results for circular pipes follow when the radius ratio takes the limiting value of zero.
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December 2015
This article was originally published in
Journal of Heat Transfer
Research-Article
Effect of Entry Temperature on Forced Convection Heat Transfer With Viscous Dissipation in Thermally Developing Region of Concentric Annuli
M. M. J. Kumar,
M. M. J. Kumar
School of Mechanical and Building Sciences,
Vellore Institute of Technology University,
Vellore, Tamilnadu 632014, India
e-mail: mohan.jagadeeshkumar@vit.ac.in
Vellore Institute of Technology University,
Vellore, Tamilnadu 632014, India
e-mail: mohan.jagadeeshkumar@vit.ac.in
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V. V. Satyamurty
V. V. Satyamurty
Department of Mechanical Engineering,
Indian Institute of Technology Kharagpur,
Kharagpur, West Bengal 721302, India
e-mail: vvsmurty@mech.iitkgp.ernet.in
Indian Institute of Technology Kharagpur,
Kharagpur, West Bengal 721302, India
e-mail: vvsmurty@mech.iitkgp.ernet.in
Search for other works by this author on:
M. M. J. Kumar
School of Mechanical and Building Sciences,
Vellore Institute of Technology University,
Vellore, Tamilnadu 632014, India
e-mail: mohan.jagadeeshkumar@vit.ac.in
Vellore Institute of Technology University,
Vellore, Tamilnadu 632014, India
e-mail: mohan.jagadeeshkumar@vit.ac.in
V. V. Satyamurty
Department of Mechanical Engineering,
Indian Institute of Technology Kharagpur,
Kharagpur, West Bengal 721302, India
e-mail: vvsmurty@mech.iitkgp.ernet.in
Indian Institute of Technology Kharagpur,
Kharagpur, West Bengal 721302, India
e-mail: vvsmurty@mech.iitkgp.ernet.in
Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received April 16, 2014; final manuscript received January 28, 2015; published online August 11, 2015. Assoc. Editor: P.K. Das.
J. Heat Transfer. Dec 2015, 137(12): 121001 (8 pages)
Published Online: August 11, 2015
Article history
Received:
April 16, 2014
Revision Received:
January 28, 2015
Citation
Kumar, M. M. J., and Satyamurty, V. V. (August 11, 2015). "Effect of Entry Temperature on Forced Convection Heat Transfer With Viscous Dissipation in Thermally Developing Region of Concentric Annuli." ASME. J. Heat Transfer. December 2015; 137(12): 121001. https://doi.org/10.1115/1.4030908
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