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Numerical simulations for 2-D unsteady, incompressible flow with heattransfer in a four-sided lid-driven rectangular domain are reported in thepresent study. For the four-sided lid-driven rectangular domain, the lower wallis moved to the left, the upper wall is moved to the right, while the rightwall is moved upwards and the left wall is moved downwards. All four walls movewith equal speed. Different constant temperatures are applied to the left andright moving walls, and thermal insulation is applied to the upper and bottommoving walls. The governing equations are discretized using the QUICK scheme offinite volume methods. The SIMPLE algorithm is adopted to compute the numericalsolutions of the flow variables, $u$-velocity, $v$-velocity, $P$, and $\theta$as well as local and average Nusselt numbers for $50 \le Re \le 1500$ and$Pr=6.63$. Due to the force generated by moving fluid, the direction of movingwalls and the Reynolds number affect fluid flow in the rectangular domain inaddition, at different Reynolds numbers along the cold wall of the domain, thevariation in average and local Nusselt numbers reveals that overall heattransfer increases isotherms showed that as Reynolds numbers increase, thehorizontal temperature gradient near the vertical walls decreases, because ofwhich heat transfer decreases.decreases.

Numerical simulations of fluid flow and heat transfer in a four-sided, lid-driven rectangular domain