ABSTRACT

In this paper stagnation point flow of fourth-grade fluid toward a porous stretching sheet is modeled. Convective conditions of heat and mass transfer are utilized. Problem formulation consists of Brownian motion and thermophoresis effects. Two-dimensional expressions for flow, temperature and concentration are presented. Resulting systems are reduced into ordinary differential equations (ODEs). Computations to the nonlinear system are organized by employing the optimal homotopy analysis method (OHAM). Average residual error (ARE) and average square residual error (ASRE) are computed and analyzed. Physical interpretations to velocity, temperature, concentration, skin friction, and Nusselt and Sherwood numbers are arranged. Velocity profile boosts with higher estimations of material parameters (fluid parameters), injection, and velocity ratio parameters. Decay in temperature in noticed for higher Prandtl number. Intensification in concentration is examined with higher thermophoresis parameter and mass Biot number. Skin friction coefficient reduces for higher velocity ratio parameter. Heat transfer rate (Nusselt number) boosts with Prandtl and thermal Biot numbers. Sherwood number increases with higher Schmidt and mass Biot numbers.

摘要

本文对四级流体流向多孔拉伸片的驻点流进行了建模。利用传热和传质的对流条件。问题表述由布朗运动和热泳效应组成。给出了流量、温度和浓度的二维表达式。所得系统被简化为常微分方程 (ODE)。非线性系统的计算是通过采用最优同伦分析方法（OHAM）来组织的。计算并分析平均残差（ARE）和均方残差（ASRE）。安排了对速度、温度、浓度、表面摩擦力以及努塞尔数和舍伍德数的物理解释。通过对材料参数（流体参数）、注射、和速度比参数。注意到普朗特数较高时温度的衰减。使用更高的热泳参数和质量毕奥数来检查浓度的增强。对于较高的速度比参数，表面摩擦系数会降低。传热率（努塞尔数）随着普朗特数和热比奥数而提高。舍伍德数随着施密特数和质量比奥数的增加而增加。