中文摘要：

在就秒顺序而言的一个体环内的 magnetohydrodynamics nanofluid 的热转移滑动状况和 nanoparticle 移植理论上被调查。秒顺序滑倒状况，适当地在接口附近代表非平衡区域，被规定而非没有滑倒条件和线性 Navier 滑动状况。强加不同温度坡度，外部墙受到 q ₂, 内部墙受到 q ₁, 和 q ₁> q ₂ 。A 修改了二部件的四方程的非同类的平衡模型为 nanofluid 被采用，它被归结为二点的平常的边界价值在考虑的微分方程充分热地并且 hydrodynamically 发展了流动。homotopy 分析方法(火腿) 被采用解决方程，并且 h 弄弯被阴谋验证答案的精确性和效率。而且，流动和热转移上的物理因素的效果详细被讨论，并且在 N _{uB 之间的半分析的关系} 和 N _BT 被获得。

英文摘要：

The heat transfer of a magnetohydrodynamics nanofluid inside an annulus considering the second-order slip condition and nanoparticle migration is theoret-ically investigated. A second-order slip condition, which appropriately represents the non-equilibrium region near the interface, is prescribed rather than the no-slip condition and the linear Navier slip condition. To impose different temperature gradients, the outer wall is subjected to q2, the inner wall is subjected to q1, and q1 〉 q2. A modified two-component four-equation non-homogeneous equilibrium model is employed for the nanofiuid, which have been reduced to two-point ordinary boundary value differential equations in the consideration of the thermally and hydrodynamically fully developed flow. The homotopy analysis method （HAM） is employed to solve the equations, and the h-curves are plotted to verify the accuracy and efficiency of the solutions. Moreover, the effects of the physical factors on the flow and heat transfer are discussed in detail, and the semi-analytical relation between NUB and NBT is obtained.