The Magnetohydrodynamics Casson Fluid Flow, Heat and Mass Transfer Due to the Presence of Assisting Flow and Buoyancy Ratio Parameters

Abstract

The assisting boundary layer flow, heat and mass transfer have wide applications in engineering devices and in nature: for example, nuclear reactors, heat exchangers, solar receivers, atmospheric flow and lake circulation. Therefore, the numerical study of boundary layer flow, heat and mass transfer on Newtonian or non-Newtonian fluid has to be developed, as a reference to experimental works. Therefore, the mathematical modelling and numerical solutions of boundary layer flow, heat and mass transfer on magneto-hydrodynamics Casson fluid are reported in this paper. The model problem is subjected to the presence of mixed convection with assisting flow, together with the buoyant feature. The Casson fluid is assumed to flow over an exponentially stretching sheet, together with the exponential variations of fluid temperature and fluid concentration. The momentum, energy and concentration equations are formed as the controlling equations and written as partial differential equations (PDE). Subsequently, these equations were transformed into the ordinary differential equations (ODE) by using the similarity transformation. Finally, the ODE are solved numerically by bvp4c program in MATLAB software. The graphs of velocity, temperature and concentration profiles and the numerical values of skin friction coefficient, local Nusselt number and local Sherwood number are presented. These results are obtained due to the controlling parameter, namely as magnetic field, assisting flow and buoyancy ratio parameters. As a result, the increment and decrement of the velocity, temperature, concentration, skin friction coefficient, local Nusselt number and local Sherwood number are influenced by magnetic field, assisting flow and buoyancy ratio parameters.

Partial differential equations modeling of thermal transportation in Casson nanofluid flow with arrhenius activation energy and irreversibility processes

“…The human blood has a rheological property of the Casson fluid, which is one type of non-Newtonian fluids. The mathematical analysis of the Casson fluid have been reported , due to the external impacts of slip conditions and Joule heating 15,16 , convective boundary conditions 17,18 , radiation 19,20 , chemical reaction 20,21 , magnetic field [22][23][24][25][26][27][28][29] , porous boundary sheet 30,31 , viscous dissipation 32,33 , heat generation and heat sink 34,35 , and various thermal conductivity 36,37 . Mixed nanofluids are novel nanofluids organized via way of forming extraordinary nanoparticles both in combination or in a composite form.…”

Caputo Fractional MHD Casson Fluid Flow Over an Oscillating Plate with Thermal Radiation

“…The temperature and velocity is dependent on variable and . By utilising the Boussinesq's approximation and considering a unidirectional flow, the acquired momentum and energy equations are as follows [32][33][34] ( )…”

The flow, thermal and mass properties of Soret-Dufour model of magnetized Maxwell nanofluid flow over a shrinkage inclined surface

“…Besides, the additional impact of parameter which is defined as i) the ratio of momentum diffusivity (kinematic viscosity) to thermal diffusivity, and ii) the ratio of thermal diffusivity to mass diffusivity, are considered in the previous model [56]. Since the numerical results in this study are dual, stability analysis is implemented to select the most relevant in an actual fluid situation [56][57][58][59][60][61][62][63][64][65][68][69][70][71] for various types of fluid and boundary conditions.…”