Christov Heat Flux Model Research Articles

Analysis of Cattaneo-Christov heat diffusion on MHD Casson-Williamson bioconvective nanofluid flow across an exponential porous stretching sheet

ABSTRACT The present work analyzes the magnetized Casson-Williamson nanofluid flow past permeable and exponentially stretching devices. Microorganisms are immersed to improve the stability of nanoparticles. The novel effect of frictional forces working between the fluid layers is described using the Cattaneo – Christov heat flux model. The energy equation consists of viscous dissipation and Joule heating effect in the system. Further, thermal radiation and chemical reaction effects are considered during the mathematical framing. The nanofluid characteristics are elaborated using the Buongiorno nanofluid model. Thus, the obtained governing system of equation is further renovated using the similarity invariants. The graphical illustrations of the numerical outcomes are obtained in MATLAB. The code validation is carried out with a numerical comparison between the recent publications. Our results show that the fluid temperature enhances with higher values of thermophoresis, Brownian motion parameter, Rayleigh number, Eckert number, and Joule heating. The velocity declines with an increase in the strength of the magnetic field.

Analysis of joule heating and generalized slip flow in ferromagnetic nanoparticles in a curved channel using Cattaneo-Christov heat flux theory

This paper investigates the heat transport phenomenon by utilizing Cattaneo- Christov heat flux model on magnetic nanoparticles through a semi porous curved wall channel, incorporated with generalized slip condition and bent in a circle of radius, Rc. In addition, the energy equations takes into account the impacts of heat generation and Joule heating. To construct the flow model, a curvilinear co-ordinate scheme is used. The derived PDE are converted into system of ODE by incorporating appropriate similarity variables. Numerical simulation is used to achieve a numerical solution of the flow equations by using shooting technique. The influence of various parameters on temperature, rate of heat transfer, velocity and surface drag force are analyze and discussed in detail by using graphs and table. Also a well-known finite difference technique known as Keller box method is also used to verify and validate the obtained numerical results.