Abstract
AbstractPresent research article reports the magnetized impacts of Cattaneo-Christov double diffusion models on heat and mass transfer behaviour of viscous incompressible, time-dependent, two-dimensional Casson nanofluid flow through the channel with Joule heating and viscous dissipation effects numerically. The classical transport models such as Fourier and Fick’s laws of heat and mass diffusions are generalized in terms of Cattaneo-Christov double diffusion models by accounting the thermal and concentration relaxation times. The present physical problem is examined in the presence of Lorentz forces to investigate the effects of magnetic field on double diffusion process along with Joule heating. The non-Newtonian Casson nanofluid flow between two parallel plates gives the system of time-dependent, highly nonlinear, coupled partial differential equations and is solved by utilizing RK-SM and bvp4c schemes. Present results show that, the temperature and concentration distributions are fewer in case of Cattaneo-Christov heat and mass flux models when compared to the Fourier’s and Fick’s laws of heat and mass diffusions. The concentration field is a diminishing function of thermophoresis parameter and it is an increasing function of Brownian motion parameter. Finally, an excellent comparison between the present solutions and previously published results show the accuracy of the results and methods used to achieve the objective of the present work.
Highlights
Present research article reports the magnetized impacts of Cattaneo-Christov double di usion models on heat and mass transfer behaviour of viscous incompressible, time-dependent, two-dimensional Casson nano uid ow through the channel with Joule heating and viscous dissipation e ects numerically
The non-Newtonian Casson nano uid ow between two parallel plates gives the system of time-dependent, highly nonlinear, coupled partial di erential equations and is solved by utilizing Runge-Kutta fourth order method with shooting scheme (RK-SM) and bvp4c schemes
The temperature and concentration distributions are fewer in case of Cattaneo-Christov heat and mass ux models when compared to the Fourier’s and Fick’s laws of heat and mass di usions
Summary
Abstract: Present research article reports the magnetized impacts of Cattaneo-Christov double di usion models on heat and mass transfer behaviour of viscous incompressible, time-dependent, two-dimensional Casson nano uid ow through the channel with Joule heating and viscous dissipation e ects numerically. The classical transport models such as Fourier and Fick’s laws of heat and mass di usions are generalized in terms of Cattaneo-Christov double di usion models by accounting the thermal and concentration relaxation times. The present physical problem is examined in the presence of Lorentz forces to investigate the e ects of magnetic eld on double di usion process along with Joule heating. The temperature and concentration distributions are fewer in case of Cattaneo-Christov heat and mass ux models when compared to the Fourier’s and Fick’s laws of heat and mass di usions. An excellent comparison between the present solutions and previously published results show the accuracy of the results and methods used to achieve the objective of the present work
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