Two-dimensional boundary layer flow of nanofluid fluid past a stretching sheet is examined.The paper reveals the effect of non-linear radiative heat transfer on magnetohydrodynamic(MHD)stagnation point flow past a st...Two-dimensional boundary layer flow of nanofluid fluid past a stretching sheet is examined.The paper reveals the effect of non-linear radiative heat transfer on magnetohydrodynamic(MHD)stagnation point flow past a stretching sheet with convective heating.Condition of zero normal flux of nanoparticles at the wall for the stretched flow is considered.The nanoparticle fractions on the boundary are considered to be passively controlled.The solution for the velocity,temperature and nanoparticle concentration depends on parameters viz.Prandtl number Pr,velocity ratio parameter A,magnetic parameter M,Lewis number Le,Brownian motion Nb,and the thermophoresis parameter Nt.Moreover,the problem is governed by temperature ratio parameter Nr¼Tf T1and radiation parameter Rd.Similarity transformation is used to reduce the governing non-linear boundary-value problems into coupled higher order non-linear ordinary differential equation.These equations were numerically solved using the function bvp4c from the matlab software for different values of governing parameters.Numerical results are obtained for velocity,temperature and concentration,as well as the skin friction coefficient and local Nusselt number.The results indicate that the skin friction coefficient Cf increases as the values of magnetic parameter M increase and decreases as the values of velocity ratio parameter A increase.The local Nusselt number-θ0(0)decreases as the values of thermophoresis parameter Nt and radiation parameter Nr increase and it increases as the values of both Biot number Bi and Prandtl number Pr increase.Furthermore,radiation has a positive effect on temperature and concentration profiles.展开更多
Some practical problems in designing the outline of hidden airplane require to construct high-order surfaces with at least second order continuity. The high-order smooth surfaces'construction has been always a dif...Some practical problems in designing the outline of hidden airplane require to construct high-order surfaces with at least second order continuity. The high-order smooth surfaces'construction has been always a difficuit problem in CAGD. In this paper, G^2 smoothness between two biquintic surface patches is discussed, and the intrinsic conditions of the control vectors of the common boundary curve are presented.展开更多
文摘Two-dimensional boundary layer flow of nanofluid fluid past a stretching sheet is examined.The paper reveals the effect of non-linear radiative heat transfer on magnetohydrodynamic(MHD)stagnation point flow past a stretching sheet with convective heating.Condition of zero normal flux of nanoparticles at the wall for the stretched flow is considered.The nanoparticle fractions on the boundary are considered to be passively controlled.The solution for the velocity,temperature and nanoparticle concentration depends on parameters viz.Prandtl number Pr,velocity ratio parameter A,magnetic parameter M,Lewis number Le,Brownian motion Nb,and the thermophoresis parameter Nt.Moreover,the problem is governed by temperature ratio parameter Nr¼Tf T1and radiation parameter Rd.Similarity transformation is used to reduce the governing non-linear boundary-value problems into coupled higher order non-linear ordinary differential equation.These equations were numerically solved using the function bvp4c from the matlab software for different values of governing parameters.Numerical results are obtained for velocity,temperature and concentration,as well as the skin friction coefficient and local Nusselt number.The results indicate that the skin friction coefficient Cf increases as the values of magnetic parameter M increase and decreases as the values of velocity ratio parameter A increase.The local Nusselt number-θ0(0)decreases as the values of thermophoresis parameter Nt and radiation parameter Nr increase and it increases as the values of both Biot number Bi and Prandtl number Pr increase.Furthermore,radiation has a positive effect on temperature and concentration profiles.
文摘Some practical problems in designing the outline of hidden airplane require to construct high-order surfaces with at least second order continuity. The high-order smooth surfaces'construction has been always a difficuit problem in CAGD. In this paper, G^2 smoothness between two biquintic surface patches is discussed, and the intrinsic conditions of the control vectors of the common boundary curve are presented.
