Abstract
In this article, mixed convection squeezing flow of a nanofluid between parallel disks is considered. The partial differential equations governing the flow problem are converted into coupled system of ordinary differential equation with the help of suitable similarity transforms. Homotopy analysis method is employed to solve the coupled system of ordinary differential equations. The influence of involved parameters, on velocity, temperature, and concentration profile, is presented graphically coupled with detailed discussion. The results for skin friction coefficient and Nusselt and Sherwood numbers are also a part of this study. Numerical solution is also obtained with the help of Runge–Kutta method of order 4. An excellent agreement is found between analytical and numerical solutions. From the results obtained, we observe that the skin friction coefficient decreases with increasing squeeze number for the case of injection and increases with increase in squeeze number for the case of injection at the walls. Furthermore, Nusselt number gets a rise with increment in squeeze number for the case of injection at the wall and a drop in Nusselt number for the case of suction at the wall is observed when there is suction at the wall. Sherwood number is seen to drop quite steeply with higher values of squeeze number for the injection case and a rise in Sherwood number for the suction is observed when there is suction at the wall.
Highlights
Mixed convection is the combination of natural and forced convection, in which the buoyancy forces are induced due to the change in fluid density with temperature
Mixed convection flows are encountered in several industrial applications including nuclear reactors cooled during emergency shutdown, heat exchangers placed in lowvelocity environments, electronic devices cooled by
The buoyancy effects of horizontal boundary layer flow and heat transfer were reported by Sparrow and Minkowycz,[2] in which they point out some minor errors in the solution by Mori[1] and provided the solution for larger Prandtl number
Summary
Mixed convection is the combination of natural and forced convection, in which the buoyancy forces are induced due to the change in fluid density with temperature. Depending on the orientation and heating conditions, concentration and temperature changes are very important in the mixed convection thermal and mass diffusions. The buoyancy effects of horizontal boundary layer flow and heat transfer were reported by Sparrow and Minkowycz,[2] in which they point out some minor errors in the solution by Mori[1] and provided the solution for larger Prandtl number. Motivated by these facts, notable amount of research exists for mixed convection flow by a stretching surface
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