@Article{hmt.v3.3.3004,
AUTHOR = {Pranab Kumar Mondal, Sanchayan Mukherjee},
TITLE = {VISCOUS DISSIPATION EFFECTS ON THE LIMITING VALUE OF  NUSSELT NUMBERS FOR A SHEAR DRIVEN FLOW BETWEEN TWO ASYMMETRICALLY HEATED PARALLEL PLATES},
JOURNAL = {Frontiers in Heat and Mass Transfer},
VOLUME = {3},
YEAR = {2012},
NUMBER = {3},
PAGES = {1--6},
URL = {http://www.techscience.com/fhmt/v3n3/55673},
ISSN = {2151-8629},
ABSTRACT = {The present paper deals with the analytical investigation for the limiting value of Nusselt number, including the effect of viscous dissipation on heat 
transfer for a laminar shear driven flow between two infinite parallel plates, where the bottom plate is fixed and the top plate is moving in an axial 
direction at a constant speed. The study concentrates on hydro-dynamically fully developed flow of a Newtonian fluid of constant properties without 
considering the axial conduction in the fluid. To investigate the effect of viscous dissipation on heat transfer by defining the limiting Nusselt number,
plates are kept at constant equal temperatures. Close form expressions for the limiting Nusselt numbers as a function of the Brinkman number and 
asymmetry parameter are evaluated. Focus is given to the viscous dissipative effect due to the shear produced by the movable top plate over and 
above the viscous dissipation due to internal fluid friction. The interactive effects of the Brinkman number and the degree of asymmetry on the 
limiting Nusselt number are investigated analytically. Specific to the cases considered for this study, the appearance of point of singularities due to 
the variation of Nusselt number with the Brinkman number is observed, and discussion has been made considering the energy balance, and second 
law analysis of thermodynamics.},
DOI = {10.5098/hmt.v3.3.3004}
}