Summary
The theory of microthermopolar fluids is applied to the analysis of Couette flow between two heated parallel plates. The numerical computations are carried for the velocity, the microrotation, the temperature difference and the temperature variation distributions. The computed data show the influence of inner structure on the flow and internal heat generation. Particularly, the temperature difference is quite significant and increases as the percentage of concentration of inner structure increases. It is also affected by the variation in dimensionless pressure gradient.
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References
Eringen, A. C.: Simple microfluids. Int. J. Engng Sci.2, 205 (1964).
Eringen, A. C.: Theory of micropolar fluids. J. Math. Mech.16, 1 (1966).
Kirwan, Jr., A. D., Newman, N.: Plane flow of a fluid containing rigid structures. Int. J. Engng Sci.7, 883 (1969).
Eringen, A. C.: Theory of thermomicrofluids. J. Math. Anal. Appl.38, 480 (1972).
Řiha, P.: On the theory of heat-conducting micropolar fluids with microtemperatures. Acta Mech.23, 1 (1975).
Řiha, P.: On the microcontinuum model of heat-conduction in materials with inner structures. Int. J. Engng Sci.14, 529 (1976).
Řiha, P.: Poiseuille flow of microthermopolar fluids. Acta Techbn. ČSAV22, 602 (1977).
Verma, P. D. S., Singh, D. V., Singh, K.: Hagen-Poiseuille flow of microthermopolar fluids in a circular pipe. Acta Techn. ČSAV24, 402 (1979).
Kazakia, Y., Ariman, T.: Heat-conducting micropolar fluids. Rheol. Acta10, 319 (1972).
Grot, R. A.: Thermodynamics of a continuum with microstructure. Int. J. Engng Sci.7, 801 (1969).
Eringen, A. C.: Mechanics of continua, p. 145. New York: Wiley 1967.
Řiha, P.: On the theory of heat-conducting microstructured fluids with microtemperatures. Acta Techn. ČSAV20, 513 (1975).
Turk, M. A., Sylvester, N. D., Ariman, T.: On pulsatile blood flow. Trans. Soc. Rheol.17, 1 (1973).
Bugliarello, G., Sevilla, J.: Velocity distribution and other characteristics of steady and pulsatile blood flow in fine glass tubes. Biorheology J.7, 85 (1970).
Řiha, P.: Effect of red cells on heat-conduction in blood. Biorheology J.13, 185 (1976).
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Singh, K. Couette flow of microthermopolar fluids between two parallel plates. Acta Mechanica 43, 1–13 (1982). https://doi.org/10.1007/BF01175811
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DOI: https://doi.org/10.1007/BF01175811