Abstract
In the present analysis, the influence of thermal radiation, chemical reaction and thermal-diffusion on hydromagnetic pulsating flow of Casson fluid in a porous channel is investigated. The fluid is injected from the lower wall and sucked out from the upper wall with the same velocity. The governing flow equations are solved analytically by employing the perturbation technique. The influence of various emerging parameters on flow variables has been discussed. The obtained results show that the temperature distribution increases when there is an increase in heat source, whereas there is a decrease in temperature with an increase in radiation parameter. The concentration distribution decreases with an increase in chemical reaction parameter, while it increases for a given increase in Soret number. Further, the results reveal that, for both the Newtonian and non-Newtonian cases, Nusselt number distribution decreases at the upper wall with increasing Hartmann number and radiation parameter. The mass transfer rate decreases at the upper wall with increasing chemical reaction parameter and Soret number.
Highlights
Studies related to pulsating flow in a porous channel or pipe have attracted several researchers due to their applications in technological as well as biological flows such as transpiration cooling, gaseous diffusion, circulatory system and respiratory system, flow of blood, the process of dialysis of blood in an artificial kidney [18, 32, 41, 47]
This is due to fact that the retarding forces generated by the applied magnetic field act as resistive drag forces opposite to the flow direction, which results a decrease in velocity
The velocity distribution increases with increasing Casson fluid parameter, frequency parameter and Darcy number, while it decreases with increasing Hartmann number
Summary
Studies related to pulsating flow in a porous channel or pipe have attracted several researchers due to their applications in technological as well as biological flows such as transpiration cooling, gaseous diffusion, circulatory system and respiratory system, flow of blood, the process of dialysis of blood in an artificial kidney [18, 32, 41, 47]. Radhakrishnamacharya and Maiti [33] made an investigation of heat transfer to pulsatile flow in a porous channel. In their investigation, the fluid is injected through one wall c Vilnius University, 2018. Bestman [7] discussed that a combined forced and free convection flow through an inclined porous channel when a pulsatile pressure is applied across its ends. Datta et al [10] studied the unsteady heat transfer pulsatile flow of a dusty fluid in a porous channel by employing the perturbation technique. Shit and Roy [38] appraised the flow and heat transfer characteristics of pulsating flow of magneto-micropolar fluid through a stenosed artery
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