Evaluation of weighted residual methods for thermal radiation on nanofluid flow between two tubes in presence of magnetic field

Abstract

The current paper deals with the problem of convective heat transfer for a nanofluid flow between two tubes in the presence of a horizontal magnetized field. Two novel analytical methods, called the method of moments (MOM) and the least square method (LSM), are employed to mathematical model the problem. Also, the thermal radiation parameter (Rd) is considered, and the KKL model is used for the thermal conductivity and viscosity of the nanofluid. Besides solving nonlinear problem by present methods without grid generation difficulties, a reasonable agreement is observed with numerical technique. After that, the effects of Reynolds (Re), Hartmann (Ha), and Eckert (Ec) numbers on heat convection and velocity related to the flow of the fluid are analyzed. The results show that an increment of Ec number leads to 46% rise in temperature pattern at the same radial position. In addition, the 11.3% reduction on temperature profile is observed due to Rd parameter increment.