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THERMAL CHARACTERISTICS OF NON-NEWTONIAN THIRD GRADE FLUID FLOW THROUGH TWO PARALLEL PLATES WITH VISCOUS DISSIPATION

Sumanta Chaudhuri
Department of Mechanical Engineering KIIT University , Bhubaneswar, Odisha-751024, India

Satyabrata Sahoo
BITS Pilaini; Department of Mechanical Engineering, Indian Institute of Technology (ISM) Dhanbad, Jharkhand-826004, India

Hemant Tiwari
KIIT University

DOI: 10.1615/IHMTC-2017.1260
pages 897-904

Abstract

Pressure driven flow of a third grade fluid through parallel plates, maintained at uniform and different heat fluxes, has been considered for both heating and cooling. The effect of the viscous dissipation has been taken into account. The equations governing the flow and heat transfer are highly non-linear in nature and exact solutions are difficult to obtain. The least square method (LSM), an effective semi-analytical technique, has been employed to solve the equations of momentum and energy and the results are compared with that of the previous study and also with the results of corresponding Newtonian fluid flow situation. The results indicate an excellent agreement which demonstrates the suitability of LSM for solving non-linear problems. The velocity, temperature and Nusselt number have been determined and the effects of the non-Newtonian third grade fluid parameter and the Brinkman number on the temperature and Nusselt number have been discussed. The results indicate that an increase in the third grade fluid parameter causes an increase in Nusselt number for heating. For cooling the reverse trend is observed.

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