The primary goal of this study is to examine the flow of non-Newtonian Sutterby fluid conveying tiny particles as well as the induced magnetic field in the involvement of motile gyrotactic microorganisms.The flow is c...The primary goal of this study is to examine the flow of non-Newtonian Sutterby fluid conveying tiny particles as well as the induced magnetic field in the involvement of motile gyrotactic microorganisms.The flow is configured between a pair of circular disks filled with Sutterby fluid conveying tiny particles and gyrotactic microorganisms.The impact of Arrhenius kinetics and thermal radiation is also considered in the governing flow.The presented mathematical models are modified into nonlinear ordinary differential equations using the relevant similarity transformations.To compute the numerical solutions of nonlinear ordinary differential equations,the differential transform procedure(DTM)is used.For nonlinear problems,integral transform techniques are more difficult to execute.However,a polynomial solution is obtained as an analytical solution using the differential transform method,which is based on Taylor expansion.To improve the convergence of the formulated mathematical modeling,the Padéapproximation was combined with the differential transformation method.Variations of different dimensionless factors are discussed for velocity,temperature field,concentration distribution,and motile gyrotactic microorganism profile.Torque on both plates is calculated and presented through tables.展开更多
The authors use a temporal stability analysis to examine the hydrodynamics performance of flow response quantities to investigate the impacts of pertained parameters on Casson nanofluid over a porous shrinking wedge.T...The authors use a temporal stability analysis to examine the hydrodynamics performance of flow response quantities to investigate the impacts of pertained parameters on Casson nanofluid over a porous shrinking wedge.Thermal analysis is performed in the current flow with thermal radiation and the viscous dissipation effect.Boungiorno’s model is used to develop flow equations for Casson nanofluid over a shrinking wedge.An efficient similarity variable is used to change flow equations(PDEs)into dimensionless ordinary differential equations(ODEs)and numerical results are evaluated using MATLAB built-in routine bvp4c.The consequence of this analysis reveals that the impact of active parameters on momentum,thermal and concentration boundary layer distributions are calculated.The dual nature of flow response output i.e.Cfx is computed for various values of bT Z 2:5;3:5;4:5,and the critical value is found to be-1:544996,-1:591,and-1:66396.It is perceived that the first(upper branch)solution rises for the temperature profile when the value of thermal radiation is increased and it has the opposite impact on the concentration profile.Thermal radiation has the same critical value for Nux and Shx.The perturbation scheme is applied to the boundary layer problem to obtain the eigenvalues problem.The unsteady solution fðh;tÞconverges to steady solution foðhÞfor t/N when g0.However,an unsteady solution fðh;tÞdiverges to a steady solution foðhÞfor t/N when g<0.It is found that the boundary layer thickness for the second(lower branch)solution is higher than the first(upper branch)solution.This investigation is the evidence that the first(upper branch)solution is stable and reliable.展开更多
文摘The primary goal of this study is to examine the flow of non-Newtonian Sutterby fluid conveying tiny particles as well as the induced magnetic field in the involvement of motile gyrotactic microorganisms.The flow is configured between a pair of circular disks filled with Sutterby fluid conveying tiny particles and gyrotactic microorganisms.The impact of Arrhenius kinetics and thermal radiation is also considered in the governing flow.The presented mathematical models are modified into nonlinear ordinary differential equations using the relevant similarity transformations.To compute the numerical solutions of nonlinear ordinary differential equations,the differential transform procedure(DTM)is used.For nonlinear problems,integral transform techniques are more difficult to execute.However,a polynomial solution is obtained as an analytical solution using the differential transform method,which is based on Taylor expansion.To improve the convergence of the formulated mathematical modeling,the Padéapproximation was combined with the differential transformation method.Variations of different dimensionless factors are discussed for velocity,temperature field,concentration distribution,and motile gyrotactic microorganism profile.Torque on both plates is calculated and presented through tables.
文摘The authors use a temporal stability analysis to examine the hydrodynamics performance of flow response quantities to investigate the impacts of pertained parameters on Casson nanofluid over a porous shrinking wedge.Thermal analysis is performed in the current flow with thermal radiation and the viscous dissipation effect.Boungiorno’s model is used to develop flow equations for Casson nanofluid over a shrinking wedge.An efficient similarity variable is used to change flow equations(PDEs)into dimensionless ordinary differential equations(ODEs)and numerical results are evaluated using MATLAB built-in routine bvp4c.The consequence of this analysis reveals that the impact of active parameters on momentum,thermal and concentration boundary layer distributions are calculated.The dual nature of flow response output i.e.Cfx is computed for various values of bT Z 2:5;3:5;4:5,and the critical value is found to be-1:544996,-1:591,and-1:66396.It is perceived that the first(upper branch)solution rises for the temperature profile when the value of thermal radiation is increased and it has the opposite impact on the concentration profile.Thermal radiation has the same critical value for Nux and Shx.The perturbation scheme is applied to the boundary layer problem to obtain the eigenvalues problem.The unsteady solution fðh;tÞconverges to steady solution foðhÞfor t/N when g0.However,an unsteady solution fðh;tÞdiverges to a steady solution foðhÞfor t/N when g<0.It is found that the boundary layer thickness for the second(lower branch)solution is higher than the first(upper branch)solution.This investigation is the evidence that the first(upper branch)solution is stable and reliable.
