In the present investigation,an analytical analysis has been carried out to study theinfluence of chemical reaction on MHD flow of a nanofluid in an expanding or contractingporous pipe in the presence of heat sourcels...In the present investigation,an analytical analysis has been carried out to study theinfluence of chemical reaction on MHD flow of a nanofluid in an expanding or contractingporous pipe in the presence of heat sourcelsink.The pipe wall expands or contracts uniformlyat a time dependent rate.Similarity transfomations have been invoked to reduce the governingflow equations into coupled nonlinear ordinary differential equations.An analytical approach,namely the homotopy analysis method(HAM)is employed to obtain the analytical solutions ofthe ordinary differential equations.The convergence of the obtained series solutions isanalyzed.The effects of various physical parameters such as wall expansion ratio,Brownianmotion parameter,thermophoresis parameter,Lewis number,chemical reaction parameter andheat sourcelsink parameter on flow variables have been discussed.Further,for the case ofhydrodynamic viscous fluid,we find a good agreement between the HAM solutions andsolutions already reported in the literature.展开更多
基金The authors gratefully acknowledge National Board forHigher Mathematics,India for sanctioning a major researchproject under the Grant no.2/48(19)/2012/NBHM(R.P.)/R&D II/9137.The authors thank all the three anonymousreviewers for their constructive comments and suggestions.
文摘In the present investigation,an analytical analysis has been carried out to study theinfluence of chemical reaction on MHD flow of a nanofluid in an expanding or contractingporous pipe in the presence of heat sourcelsink.The pipe wall expands or contracts uniformlyat a time dependent rate.Similarity transfomations have been invoked to reduce the governingflow equations into coupled nonlinear ordinary differential equations.An analytical approach,namely the homotopy analysis method(HAM)is employed to obtain the analytical solutions ofthe ordinary differential equations.The convergence of the obtained series solutions isanalyzed.The effects of various physical parameters such as wall expansion ratio,Brownianmotion parameter,thermophoresis parameter,Lewis number,chemical reaction parameter andheat sourcelsink parameter on flow variables have been discussed.Further,for the case ofhydrodynamic viscous fluid,we find a good agreement between the HAM solutions andsolutions already reported in the literature.
