The present exploration is conducted to describe the motion of viscous fluid embedded in squeezed channel under the applied magnetics effects.The processes of heat and mass transport incorporate the temperature-depend...The present exploration is conducted to describe the motion of viscous fluid embedded in squeezed channel under the applied magnetics effects.The processes of heat and mass transport incorporate the temperature-dependent binary chemical reaction with modified Arrhenius theory of activation energy function which is not yet disclosed for squeezing flow mechanism.The flow,heat and mass regime are exposed to be governed via dimensionless,highly non-linear,ordinary differential equations (ODEs) under no-slip walls boundary conditions.A well-tempered analytical convergent procedure is adopted for the solutions of boundary value problem.A detailed study is accounted through graphs in the form of flow velocity field,temperature and fluid concentration distributions for various emerging parameters of enormous interest.Skin-friction,Nusselt and Sherwood numbers have been acquired and disclosed through plots.The results indicate that fluid temperature follows an increasing trend with dominant dimensionless reaction rate σ and activation energy parameter E.However,an increment in σ and E parameters is found to decline in fluid concentration.The current study arises numerous engineering and industrial processes including polymer industry,compression and injection shaping,lubrication system,formation of paper sheets,thin fiber,molding of plastic sheets.In the area of chemical engineering,geothermal engineering,cooling of nuclear reacting,nuclear or chemical system,bimolecular reactions,biochemical process and electrically conducting polymeric flows can be controlled by utilizing magnetic fields.Motivated by such applications,the proposed study has been developed.展开更多
Present numerical study examines the heat and mass transfer characteristics of magneto-hydrodynamic Casson fluid flow between two parallel plates under the influence of thermal radiation,internal heat generation or ab...Present numerical study examines the heat and mass transfer characteristics of magneto-hydrodynamic Casson fluid flow between two parallel plates under the influence of thermal radiation,internal heat generation or absorption and Joule dissipation effects with homogeneous first order chemical reaction.The non-Newtonian behaviour of Casson fluid is distinguished from those of Newtonian fluids by considering the well-established rheological Casson fluid flow model.The governing partial differential equations for the unsteady two-dimensional squeezing flow with heat and mass transfer of a Casson fluid are highly nonlinear and coupled in nature.The nonlinear ordinary differential equations governing the squeezing flow are obtained by imposing the similarity transformations on the conservation laws.The resulting equations have been solved by using two numerical techniques,namely Runge-Kutta fourth order integration scheme with shooting technique and bvp4c Matlab solver.The comparison between both the techniques is provided.Further,for the different set physical parameters,the numerical results are obtained and presented in the form of graphs and tables.However,in view of industrial use,the power required to generate the movement of the parallel plates is considerably reduced for the negative values of squeezing number.From the present investigation it is noticed that,due to the presence of stronger Lorentz forces,the temperature and velocity fields eventually suppressed for the enhancing values of Hartmann number.Also,higher values of squeezing number diminish the squeezing force on the fluid flow which in turn reduces the thermal field.Further,the destructive nature of the chemical reaction magnifies the concentration field;whereas constructive chemical reaction decreases the concentration field.The present numerical solutions are compared with previously published results and show the good agreement.展开更多
文摘The present exploration is conducted to describe the motion of viscous fluid embedded in squeezed channel under the applied magnetics effects.The processes of heat and mass transport incorporate the temperature-dependent binary chemical reaction with modified Arrhenius theory of activation energy function which is not yet disclosed for squeezing flow mechanism.The flow,heat and mass regime are exposed to be governed via dimensionless,highly non-linear,ordinary differential equations (ODEs) under no-slip walls boundary conditions.A well-tempered analytical convergent procedure is adopted for the solutions of boundary value problem.A detailed study is accounted through graphs in the form of flow velocity field,temperature and fluid concentration distributions for various emerging parameters of enormous interest.Skin-friction,Nusselt and Sherwood numbers have been acquired and disclosed through plots.The results indicate that fluid temperature follows an increasing trend with dominant dimensionless reaction rate σ and activation energy parameter E.However,an increment in σ and E parameters is found to decline in fluid concentration.The current study arises numerous engineering and industrial processes including polymer industry,compression and injection shaping,lubrication system,formation of paper sheets,thin fiber,molding of plastic sheets.In the area of chemical engineering,geothermal engineering,cooling of nuclear reacting,nuclear or chemical system,bimolecular reactions,biochemical process and electrically conducting polymeric flows can be controlled by utilizing magnetic fields.Motivated by such applications,the proposed study has been developed.
文摘Present numerical study examines the heat and mass transfer characteristics of magneto-hydrodynamic Casson fluid flow between two parallel plates under the influence of thermal radiation,internal heat generation or absorption and Joule dissipation effects with homogeneous first order chemical reaction.The non-Newtonian behaviour of Casson fluid is distinguished from those of Newtonian fluids by considering the well-established rheological Casson fluid flow model.The governing partial differential equations for the unsteady two-dimensional squeezing flow with heat and mass transfer of a Casson fluid are highly nonlinear and coupled in nature.The nonlinear ordinary differential equations governing the squeezing flow are obtained by imposing the similarity transformations on the conservation laws.The resulting equations have been solved by using two numerical techniques,namely Runge-Kutta fourth order integration scheme with shooting technique and bvp4c Matlab solver.The comparison between both the techniques is provided.Further,for the different set physical parameters,the numerical results are obtained and presented in the form of graphs and tables.However,in view of industrial use,the power required to generate the movement of the parallel plates is considerably reduced for the negative values of squeezing number.From the present investigation it is noticed that,due to the presence of stronger Lorentz forces,the temperature and velocity fields eventually suppressed for the enhancing values of Hartmann number.Also,higher values of squeezing number diminish the squeezing force on the fluid flow which in turn reduces the thermal field.Further,the destructive nature of the chemical reaction magnifies the concentration field;whereas constructive chemical reaction decreases the concentration field.The present numerical solutions are compared with previously published results and show the good agreement.