Natural convection flow of unsteady Maxwell fluid with the effects of constant magnetic force in the course of a porous media is investigated in this research work. Fluid motion between a channel of parallel plates is...Natural convection flow of unsteady Maxwell fluid with the effects of constant magnetic force in the course of a porous media is investigated in this research work. Fluid motion between a channel of parallel plates is tempted by time dependent shear stress applied on one plate. The governing partial differential equations of a model under consideration are transformed into ordinary differential equations by Laplace transform method and then solved for temperature and velocity fields. The obtained results for temperature fields are expressed in terms of complementary error function. The influences of involved parameters likes Hartmann number, Grashf number, Prandlt number and porosity parameter, on temperature and velocity profiles are shown graphically. There is no such result regarding Maxwell fluid in the existing literature.展开更多
For the polynomial <em>P</em> (<em>z</em>) = <img src="Edit_94d094e0-dc15-4e21-b6cf-3fcb179d54b0.bmp" alt="" /><em>a<sub>j</sub>z<sup>j</sup...For the polynomial <em>P</em> (<em>z</em>) = <img src="Edit_94d094e0-dc15-4e21-b6cf-3fcb179d54b0.bmp" alt="" /><em>a<sub>j</sub>z<sup>j</sup></em>, <em>a</em><sub><em>j </em></sub>≥ <em>a</em><sub><em>j</em>-1</sub>, <em>a</em><sub>0</sub> > 0, <em>j</em> = 1, 2, …, <em>n</em>, <em>a<sub>n</sub></em> > 0, a classical result of Enestr<span style="white-space:nowrap;"><span style="white-space:nowrap;">ö</span></span>m-Kakeya says that all the zeros of <em>P</em> (<em>z</em>) lie in |<em>z</em>|≤ 1. This result was generalised by A. Joyall and G. Labelle, where they relaxed the non-negativity condition on coefficients. It was further generalized by M.A Shah by relaxing the monotonicity of some coefficients. In this paper, we use some known techniques and provide some more generalizations of the above results by giving more relaxation to the conditions.展开更多
文摘Natural convection flow of unsteady Maxwell fluid with the effects of constant magnetic force in the course of a porous media is investigated in this research work. Fluid motion between a channel of parallel plates is tempted by time dependent shear stress applied on one plate. The governing partial differential equations of a model under consideration are transformed into ordinary differential equations by Laplace transform method and then solved for temperature and velocity fields. The obtained results for temperature fields are expressed in terms of complementary error function. The influences of involved parameters likes Hartmann number, Grashf number, Prandlt number and porosity parameter, on temperature and velocity profiles are shown graphically. There is no such result regarding Maxwell fluid in the existing literature.
文摘For the polynomial <em>P</em> (<em>z</em>) = <img src="Edit_94d094e0-dc15-4e21-b6cf-3fcb179d54b0.bmp" alt="" /><em>a<sub>j</sub>z<sup>j</sup></em>, <em>a</em><sub><em>j </em></sub>≥ <em>a</em><sub><em>j</em>-1</sub>, <em>a</em><sub>0</sub> > 0, <em>j</em> = 1, 2, …, <em>n</em>, <em>a<sub>n</sub></em> > 0, a classical result of Enestr<span style="white-space:nowrap;"><span style="white-space:nowrap;">ö</span></span>m-Kakeya says that all the zeros of <em>P</em> (<em>z</em>) lie in |<em>z</em>|≤ 1. This result was generalised by A. Joyall and G. Labelle, where they relaxed the non-negativity condition on coefficients. It was further generalized by M.A Shah by relaxing the monotonicity of some coefficients. In this paper, we use some known techniques and provide some more generalizations of the above results by giving more relaxation to the conditions.
