Free convective micropolar fluid flow and heat transfer over a shrinking sheet with heat source

The free convective micropolar fluid over a shrinking sheet in presence of heat source/sink has been studied in this paper. The method of solution involves similarity transformation. The coupled non-linear partial differential equations representing momentum and concentration and non homogeneous heat equation are reduced into set of non-linear ordinary differential equations. The transformed equations are solved by applying Runge-Kutta method followed by shooting technique. The effect of pertinent parameters characterizing the flow has been presented through the graphs and then discussed. It is found that heat source has significant effect on velocity profile and causes a decrease in the boundary layer. Angular velocity profile increases with the increasing value of material parameter. Present study showed an excellent agreement with published literature

Thermally stratified flow of second grade fluid with non-Fourier heat flux and temperature dependent thermal conductivity

This attempt explores stagnation point flow of second grade material towards an impermeable stretched cylinder. Non-Fourier heat flux and thermal stratification are considered. Thermal conductivity dependents upon temperature. Governing non-linear differential system is solved using homotopic procedure. Interval of convergence for the obtained series solutions is explicitly determined. Physical quantities of interest have been examined for the influential variables entering into the problems. It is examined that curvature parameter leads to an enhancement in velocity and temperature. Further temperature for non-Fourier heat flux model is less than Fourier’s heat conduction law. Keywords: Temperature dependent thermal conductivity, Second grade liquid, Non-Fourier heat flux model, Thermal stratification, Stagnation point flo

Intuitionistic fuzzy I-convergent sequence spaces defined by compact operator

The purpose of this paper is to introduce the intuitionistic fuzzy I-convergent sequence spaces $S^I_{(\mu ,\nu )}(T)$ and $S^I_{0(\mu ,\nu )}(T)$ defined by compact operator and study the fuzzy topology on the above said spaces

Non-Darcy flow of water-based carbon nanotubes with nonlinear radiation and heat generation/absorption

Here modeling and computations are presented to introduce the novel concept of Darcy-Forchheimer three-dimensional flow of water-based carbon nanotubes with nonlinear thermal radiation and heat generation/absorption. Bidirectional stretching surface induces the flow. Darcy’s law is commonly replace by Forchheimer relation. Xue model is implemented for nonliquid transport mechanism. Nonlinear formulation based upon conservation laws of mass, momentum and energy is first modeled and then solved by optimal homotopy analysis technique. Optimal estimations of auxiliary variables are obtained. Importance of influential variables on the velocity and thermal fields is interpreted graphically. Moreover velocity and temperature gradients are discussed and analyzed. Physical interpretation of influential variables is examined. Keywords: Porous medium, Heat generation/absorption, SWCNTs and MWCNTs, Nonlinear radiatio