Purpose

The purpose of this paper is to analyse the force convection laminar boundary layer flow on irregular boundary in diverging channel with the presence of magnetic field effects. Effects of various fluid parameters such as suction/injection, viscous dissipation, magnetic parameter and heat source/sink on velocity and temperature profiles are numerically analyzed. Moreover, numerically investigated on skin-friction and heat transfer coefficients when suction/injection occur.

Design/methodology/approach

The governing coupled partial differential equations are transformed to dimensionless form using non-similarity transformations. The non-dimensional partial differential equations are linearized by quasi-linearization technique and solved by varga's algorithm with numerical finite difference scheme on a non-uniform mesh.

Findings

The computation results are presented in terms of temperature, heat transfer and skin friction coefficients; these are useful for determining surface heat requirements. It was found that, in finite difference scheme for non-uniform mesh with quasi-linearization technique method gives smoothness of solution compared to finite difference scheme for uniform mesh, and this evidence is graphically represented in Figure 2.

Originality/value

The impacts of viscous dissipation (Ec) and magnetic parameter (Ha) on temperature profiles, skin friction and heat transfer are analyzed, which determine the heat generation/absorption to ensure the MHD flow of the laminar boundary layer on irregular boundary over a diverging channel.

中文翻译：

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MHD 在具有粘性耗散效应的发散通道上的不规则边界上流动

目的

本文的目的是分析存在磁场效应的发散通道中不规则边界上的力对流层流边界层流动。数值分析了各种流体参数，如吸入/注入、粘性耗散、磁参数和热源/汇对速度和温度剖面的影响。此外，对发生吸入/喷射时的皮肤摩擦和传热系数进行了数值研究。

设计/方法/方法

使用非相似变换将控制耦合偏微分方程变换为无量纲形式。无量纲偏微分方程通过拟线性化技术进行线性化，并在非均匀网格上采用数值有限差分格式的varga算法求解。

发现

计算结果以温度、传热和皮肤摩擦系数表示；这些对于确定表面热量要求很有用。发现，在非均匀网格的有限差分方案中，与均匀网格的有限差分方案相比，采用拟线性化技术的方法给出了解的平滑度，这一证据以图形方式表示在图 2 中。

原创性/价值

分析了粘性耗散 (Ec) 和磁参数 (Ha) 对温度分布、表面摩擦和传热的影响，这些影响决定了热量的产生/吸收，以确保层流边界层在发散通道上的不规则边界上的 MHD 流动.