Abstract
The title problem has been considered for detailed analysis in view of its physical application taking account of the QDT-variation in the buoyancy term. The governing equations of the problem have been reduced to two coupled non-linear ordinary differential equations, which have been solved by the linearization technique (iteration scheme) used by Ostrach. Several qualitatively interesting behaviours of the flow — and heat transfer—characteristics have been pointed out after making a comparative study of the QDT-results with the LDT-counterparts.
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Abbreviations
- C v :
-
specific heat at constant volume
- P :
-
pressure
- µ :
-
absolute viscosity coefficient
- ρ :
-
density
- X, Y :
-
Cartesian co-ordinates along and perpendicular to the walls
- U :
-
longitudinal velocity component
- Q :
-
heat generation term
- T :
-
temperature
- k :
-
heat conduction coefficient
- W :
-
wall condition
- W 0 :
-
condition aty=0
- W 1 :
-
condition aty=1
References
Goren, S. L.,Chem. Eng. Sci. 21 515 (1966).
Sinha, P. C.,Chem. Eng. Sci. 24 33 (1969).
Ostrach, S.,NACA Rep. 1111 (1953).
Ostrach, S.,NACA TN No. 2863 (1952).
Ostrach, S.,NACA TN No. 3141 (1954).
Sundaram, K. M. and Nath, G.,Proc. Indian Acad. Sci. 83 A 2, 50 (1976).
Sundaram, K. M. and Nath, G.,Proc. Indian Acad. Sci. 83 A 5, 188 (1976).
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Vajravelu, K., Sastri, K.S. Fully developed flow and heat transfer of water at 4° C confined between two parallel vertical walls with linearly varying wall temperatures. Proc. Indian Acad. Sci. 85, 167–177 (1977). https://doi.org/10.1007/BF03046710
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DOI: https://doi.org/10.1007/BF03046710