Impact of radiative and dissipative heat on the Williamson nanofluid flow within a parallel channel due to thermal buoyancy

Abstract

The present investigation reveals the non-Newtonian flow characteristics for the Williamson nanofluid through a parallel channel due to the conjunction of thermal buoyancy. As a good conductor of heat, the metal like Copper is treated as the nanoparticles submerged into the base fluids water and kerosene to perform the flow phenomena within the channel embedding with the porous medium. For the involvement of the applied magnetic field and permeability it is not wise to neglect the impact of dissipative heat energy. Therefore, both the Joule and the Darcy dissipations are also considered those are affecting the thermal properties. The model is developed considering the Mintsa model thermophysical properties of conductivity and the Gharesim model viscosity for the enhancement of heat transport properties. In various industrial as well as engineering applications nanofluids are used as a best coolant. The use of suitable similarity variables and stream function helps to transform the governing nonlinear differential equations into nonlinear ordinary. Further, an approximate analytical approach such as Adomian Decomposition Method is used to handle those transformed equations. The current outcomes obtained from the behavior of various flow characteristics are presented via graphs and table to validate the results. The observation shows that with an augmentation in the particle concentration, fluid velocity retards however the retardation in case of water-based nanofluid overrides the case of kerosene-based nanofluid. Further, particle concentration enriches the nanofluid temperature greatly in comparison to pure fluid.

Hall current and Dufour effect on the flow of a viscous fluid in the presence of suction, chemical reaction, and heat source: Laplace transform procedure

“…The system of coupled equations ( 22), (19), and (20) under the constraints ( 23) is solved using the Laplace transform procedure. The simplification of Laplace transformation of Equations ( 22), ( 19), (20), and (23) yields…”

“…Numerous researchers have included these effects in their study of MHD natural as well as mixed convection flows. [14][15][16][17][18][19][20] have considered thermophoresis, radiation and MHD effects on the secondgrade fluid flow past a stretching sheet. Mishra et al 22 have investigated the consequences of exponential heat source and nonlinear radiation on the MHD micropolar nanoliquid flow past RATH and NAYAK…”

Heat generation and melting heat transfer effects on MHD flow of Carreau fluid in a porous medium

“…Zeb et al [37] investigated presence of variable thermal conductivity and suction/injection parameter with double diffusion on flow of Carreau fluid with magnetic field along a stretch sheet via a permeable medium. Flow of MHD Williamson nanofluid through parallel channel in a porous medium with thermal radiation, viscous dissipation, thermal buoyancy, Joule heating, and heat source/sink has been examined by Pattanaik et al [38]. Mishra et al [39] analyzed various important properties of Li/Fe modified barium tungstate double perovskite for electronic devices.…”

“…Flow of MHD Williamson nanofluid through parallel channel in a porous medium with thermal radiation, viscous dissipation, thermal buoyancy, Joule heating, and heat source/sink has been examined by Pattanaik et al. [38]. Mishra et al.…”

Magnetohydrodynamic forced convection in bidisperse porous medium: Analysis of flow and temperature distributions in a parallel‐plate channel

“…In the study conducted by Mishra et al, [34][35][36][37] the importance of magnetohydrodynamic (MHD) in various situations can also be explored. Furthermore, Mishra et al [38][39][40][41][42][43][44][45][46] have also investigated the influence of nanofluid on various problems and how nanofluid has its advantages in dealing with the heat transfer problem.…”