Abstract:We have investigated a two-dimensional radiative flow of a boundary layer nature. The fluid under consideration is carbon nanotube (CNT)-based nanofluid and it flows over a curved surface. The heat transfer through the flow is analyzed under the influence of internal heat generation. Water (base fluid) along with single or multi-walled carbon nanotubes is taken to compose the nanofluid. After introducing the suitable similarity variables, the consequent equations are reduced to a system of nonlinear ordinary differential equations. The solution to the system is computed by using the shooting method accompanied by Runge-Kutta-Fehlberg algorithm. Various parameters, emerging in the governing equations, influences the flow and heat transfer distribution. These changes are captured and portrayed in the form of graphs. The changes in local rate of heat transfer and skin friction coefficient are also enlisted. To ensure the correctness of applied numerical scheme, the results are compared with some already existing studies.

The combined effects of heat transfer and chemical reaction are studied for the flow through a semi-infinite asymmetric channel with orthogonally deformable porous walls. The similarity transforms have been used to reduce the conservation laws to a corresponding system of nonlinear ordinary differential equations. The resulting equations are solved, both analytically and numerically, by using Homotopy Analysis Method (HAM) and the fourth-order Runge-Kutta (RK-4) method, respectively. The convergence of the analytical solution is assured through the so-called total squared residual error analysis. The optimal values of auxiliary parameters are obtained by minimizing the total squared residual error.

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.

No abstract

No abstract