A two-phase, dusty boundary-layer flow over an isothermally heated rotating hemisphere is studied for the laminar, incompressible fluid. The contribution of non-linear thermal radiation is analyzed by using the Rosseland diffusion approximation model. The difficulty of having a unified mathematical treatment of the above problem is due to the complex nature of the governing partial differential equations, which arises from the transverse curvature of the round-nosed body, buoyant force, and thermal radiation. Therefore, this study presents a theoretical analysis of a dusty flow and heat transfer over a rotating axisymmetric round-nosed body (for example, hemisphere). In industries, for instance, vehicle industry, blunt-nosed shapes (or round-nosed body) are preferred because it provides better thermal management. The governing equations, along with their appropriate boundary conditions, are numerically solved using the iterative, implicit finite difference method. Numerical solutions are illustrated in the form of streamwise velocity distribution, spanwise velocity distribution, temperature distribution, and skin friction and heat transfer coefficients. The numerical scheme is validated through comparison with the benchmark solutions available in the literature. Solutions obtained here are discussed for i) pure and dusty air and ii) pure and dusty water. A wide range of thermal radiation parameter is tested for the above two cases, and it is found that skin friction coefficient achieves asymptotic behavior for $R_d>10$; however, heat transfer coefficient increases considerably as much as we strengthen the parameter R_d. Further, momentum and thermal boundary layer thicknesses also increase for $R_d>0$. Computations are also performed for the buoyancy parameter, λ, ranging from 0 to $\infty$, which respectively covers the solution of pure forced convection (λ = 0) and pure natural convection ($\lambda =\infty$) boundary layer on a rotating hemisphere.

研究了层状不可压缩流体在等温加热的旋转半球上的两相尘土边界层流。使用Rosseland扩散近似模型分析了非线性热辐射的贡献。对上述问题进行统一数学处理的困难是由于支配的偏微分方程的复杂性，这是由圆鼻状体的横向曲率，浮力和热辐射引起的。因此，本研究对旋转的轴对称圆形鼻状体（例如，半球）上的粉尘流动和传热进行了理论分析。在汽车行业等行业中，首选钝头形状（或圆头形），因为它可提供更好的热管理。控制方程，以及它们合适的边界条件，可以使用迭代隐式有限差分法进行数值求解。数值解以流向速度分布，翼展向速度分布，温度分布以及蒙皮摩擦和热传递系数的形式表示。通过与文献中提供的基准解决方案进行比较来验证数值方案。讨论了在此获得的解决方案：i）纯净多尘的空气，ii）纯净多尘的水。针对上述两种情况测试了广泛的热辐射参数，发现皮肤摩擦系数达到了 数值解以流向速度分布，翼展向速度分布，温度分布以及蒙皮摩擦和热传递系数的形式表示。通过与文献中提供的基准解决方案进行比较来验证数值方案。讨论了在此获得的解决方案：i）纯净多尘的空气，ii）纯净多尘的水。针对上述两种情况测试了广泛的热辐射参数，发现皮肤摩擦系数达到了 数值解以流向速度分布，翼展向速度分布，温度分布以及蒙皮摩擦和热传递系数的形式表示。通过与文献中提供的基准解决方案进行比较来验证数值方案。讨论了在此获得的解决方案：i）纯净多尘的空气，ii）纯净多尘的水。针对上述两种情况测试了广泛的热辐射参数，发现皮肤摩擦系数达到了 讨论了在此获得的解决方案：i）纯净多尘的空气，ii）纯净多尘的水。针对上述两种情况测试了广泛的热辐射参数，发现皮肤摩擦系数达到了 讨论了在此获得的解决方案：i）纯净多尘的空气，ii）纯净多尘的水。针对上述两种情况测试了广泛的热辐射参数，发现皮肤摩擦系数达到了${\mathrm{[R}}_d>10$; 然而，随着我们加强参数R _d，传热系数显着增加。此外，动量和热边界层的厚度也会增加${\mathrm{[R}}_d>0$。还对浮力参数λ进行计算，范围从0到$\infty$，分别涵盖了纯强制对流（λ  = 0）和纯自然对流（$\lambda =\infty$）在旋转的半球上的边界层。