Applied Mathematics

This paper develops a new technique for the time minimizing in fuzzy transportation problems using triangular fuzzy number. The procedure involves the fuzzy active transportation routes which are based on moving from basic fuzzy feasible solution to another till the last solutions arrived. A numerical example, illustrating the method is also included.

The theoretical solution of flow past a parabolic starting motion of the infinite vertical plate with isothermal vertical plate and variable mass diffusion has been studied. The temperature of the plate is raised uniformly and species concentration level near the plate is made to rise linearly with time. The dimensionless governing equations are solved by using the Laplace-transform technique. The effect of velocity profiles are studied for different physical parameters like thermal Grashof number, mass Grashof number, Schmidt number, and time. It is observed that the velocity increases as the value of the thermal Grashof number or mass Grashof number increase. The trend is just reversed with respect to the Schmidt number.

Using Fourier transforms, the evolution of linearized perturbations in a thermally stratified magnetohydrodynamic shear flow is solved as an initial value problem. The resulting equation in terms of the Fourier amplitudes is solved for the case of bounded couette flow with a point source of the field of transverse velocity, density and temperature. Solutions are obtained for small values of Alfve?n velocity and Brunt Vaisala frequency. The velocity plots are drawn for different values of Alfve?n velocity and Brunt frequency.

In this article, the authors attempt to find the economic order quantity under fuzzy environment. The ordering quantity, optimal order quantity, and the total profit are finding by use of Matlab. In this paper, we derive the conclusion by comparison of Crisp and Fuzzy Model.

In the present paper, MHD flow through porous media past an impulsively started vertical plate with variable temperature in the presence of Hall current is studied. The fluid considered is electrically conducting, absorbing-emitting radiation in a non-scattering medium. The Laplace transform technique has been used to find the solutions for the velocity profile and Skin friction. The velocity profile and Skin friction have been studied for different parameters like Prandtl number, Hall parameter, magnetic field parameter, Thermal Grashof number, and time. The effect of parameters are shown graphically and the value of the skin-friction for different parameters has been tabulated.

The effect of variable viscosity and thermal conductivity of two dimensional flow of a micropolar fluid in a porous channel is investigated. The flow is driven by suction or injection at the channel walls and the micropolar model due to Erigen is used to describe the working fluid. An extension of Berman’s similarity transform is used to reduce the governing equations to get non-linear coupled differential equations. The equations governing the motion, angular momentum and energy are solved numerically by Runga-Kutta shooting technique. The graphs are plotted for velocity distribution, temperature distribution and microrotation distribution for various values of non-dimensional parameters. It is found that the effects of the parameters giving variable property of viscosity and thermal conductivity are significant.

In this paper, we study a lower bound on the blockwise periodic error correcting perfect codes along with lower and upper bounds on periodic solid burst error correcting codes.

Radiation and chemical effects on MHD flow through porous media past an impulsively started exponentially accelerated vertical plate with variable temperature in the presence of heat generation is studied here. The fluid considered is gray, absorbing-emitting radiation but a non-scattering medium. The governing equations involved in the present analysis are solved by Laplace transform techniques. The velocity, temperature, concentration, skin friction and Nusselt number are studied for different parameters like thermal Grashof number, mass Grashof number, Schmidt number, magnetic field parameter, Prandtl number, radiation parameter, heat source parameter, permeability parameter chemical reaction parameter and time.

In this paper, a tuberculosis disease population model with time delays is investigated. The linear stability of the equilibrium and the existence of Hopf bifurcation with delay is investigated. Numerical simulations for justifying the theoretical results are illustrated. Finally, main conclusions are given.

The present work analyzes the influence of first order homogeneous chemical reactions on unsteady transient free convection flow of a viscous, incompressible, electrically conducting fluid between two long vertical parallel plates through a porous medium with heat generation/absorption in the presence of transverse magnetic field. The problem is solved analytically in closed form by Laplace transform technique and the expressions for velocity, temperature and concentration has been obtained. The velocity, temperature and concentration profiles are studied for different physical parameters like Schmidt number, Prandtl number, magnetic parameter, buoyancy ratio parameter, chemical reaction parameter, time, permeability parameter and heat generation/absorption parameter. The numerical values of skin-friction have been tabulated.