Abstract:We perform an analysis of MHD flow and heat transfer on a stretching, permeable cylinder. We prove existence of solutions for all values of the relevant parameters and provide uniqueness results in the case of a monotonic solution. The nonlinear boundary value problem that is derived from a similarity transformation of the governing system of nonlinear partial differential equations is solved numerically and the results are presented with graphs and tables.
“…The current results are checked for validation in Table 2 and Table 3. Their acceptable accord with those by Mastroberardino and Siddique [22] has eslablished the accuracy of the present numeric scheme. The outcomes for velocity f (ξ), temperature θ (ξ) and concentration φ (ξ) are sketched in Figure 2 to Figure 5 for two cases of γ(γ = −0.5andγ = 0.5) with the variation of other influential parameters.…”
It is a theoretical exportation for mass transpiration and thermal transpiration of Casson nanofluid over an extending cylindrical surface. The Stagnation point flow through porous matrix is influenced by magnetic field of form strength. Appropriate similarity functions are availed to yield the transmuted system of leading differential equations. Existence for the solution of momentum equation is proved for various values of Casson parameter β, magnetic parameter M, porosity parameter Kp and Raynolds number Re in two situations of mass transpiration (suction/injuction). Moreover, uniqueness results are discussed and for skin friction factor are established to attain accuracy for large injection values. Thermal and concentration profiles are delineated numerically by applying Runge-Kutta method and shooting technique.
“…The current results are checked for validation in Table 2 and Table 3. Their acceptable accord with those by Mastroberardino and Siddique [22] has eslablished the accuracy of the present numeric scheme. The outcomes for velocity f (ξ), temperature θ (ξ) and concentration φ (ξ) are sketched in Figure 2 to Figure 5 for two cases of γ(γ = −0.5andγ = 0.5) with the variation of other influential parameters.…”
It is a theoretical exportation for mass transpiration and thermal transpiration of Casson nanofluid over an extending cylindrical surface. The Stagnation point flow through porous matrix is influenced by magnetic field of form strength. Appropriate similarity functions are availed to yield the transmuted system of leading differential equations. Existence for the solution of momentum equation is proved for various values of Casson parameter β, magnetic parameter M, porosity parameter Kp and Raynolds number Re in two situations of mass transpiration (suction/injuction). Moreover, uniqueness results are discussed and for skin friction factor are established to attain accuracy for large injection values. Thermal and concentration profiles are delineated numerically by applying Runge-Kutta method and shooting technique.
“…The current results are checked for validation as listed in Table 2 and 3 . Their acceptable accord with those by Mastroberardino and Siddique 41 has established the accuracy of the present numeric scheme. The pictorial representation for Casson nano-fluid’s velocity, temperature and concentration of nano-entities graphed for two cases of mass transpiration .…”
“…A glance of the related studies of flow across a cylindrical surface is mostly treated with implementation of numerical methods. Mastroberardino and Siddique 41 presented numerical solution for MHD flow of Newtonian fluid towards a stretching cylinder. They discussed the conditions for existence and uniqueness of the solution.…”
It is a theoretical exportation for mass transpiration and thermal transportation of Casson nanofluid over an extending cylindrical surface. The Stagnation point flow through porous matrix is influenced by magnetic field of uniform strength. Appropriate similarity functions are availed to yield the transmuted system of leading differential equations. Existence for the solution of momentum equation is proved for various values of Casson parameter $$\beta $$
β
, magnetic parameter M, porosity parameter $$K_p$$
K
p
and Reynolds number Re in two situations of mass transpiration (suction/injuction). The core interest for this study aroused to address some analytical aspects. Therefore, existence of solution is proved and uniqueness of this results is discussed with evaluation of bounds for existence of solution. Results for skin friction factor are established to attain accuracy for large injection values. Thermal and concentration profiles are delineated numerically by applying Runge-Kutta method and shooting technique. The flow speed retards against M, $$\beta $$
β
and $$K_p$$
K
p
for both situations of mass injection and suction. The thermal boundary layer improves with Brownian and thermopherotic diffusions.
“…Moreover, in[23] [24] Analyzed heat transfer of MHD stagnation flow past non-isothermal stretching and stationary cylinder. The analysis was done without radiation, viscous dissipation, heat source and thermal buoyancy but[25] reported on the decreasing effect of Reynolds number and magnetic field parameters on the flow velocity profiles in. The effect of the thermal conductivity on the temperature-dependent flow and thermal boundary layer sideways of a broadening cylinder was investigated in (Sharma, et al)[26].…”
The focus of the study is to examine thermal radiation and viscous dissipative heat transfers of magnetohydrodynamics (MHD) stagnation point flow past a permeable confined stretching cylinder with non-uniform heat source or sink. The formulated equation governing the flow is non-dimensional. The dimensionless momentum and energy equation are solved using shooting technique coupled with fourth-order Runge-kutta integrated scheme which satisfied smoothness conditions at the edge of the boundary layer. The result for the velocity and temperature distributions are presented graphically and discussed to portray the effects of some important embodiment parameters on the flow. The Nusselt number and skin friction were obtained and compared with the previous scholars' results in others to validate the present research work.
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