Heat and Mass Transfer in MHD Micropolar Flow Over a Vertical Moving Porous Plate in a Porous Medium

An analysis is presented for the problem of free convection with mass transfer flow for a micropolar fluid via a porous medium bounded by a semi-infinite vertical porous plate in the presence of a transverse magnetic field. The plate moves with constant velocity in the longitudinal direction, and the free stream velocity follows an exponentially small perturbation law. A uniform magnetic field acts perpendicularly to the porous surface in which absorbs the micropolar fluid with a suction velocity varying with time. Numerical results of velocity distribution of micropolar fluids are compared with the corresponding flow problems for a Newtonian fluid. Also, the results of the skin-friction coefficient, the couple stress coefficient, the rate of the heat and mass transfers at the wall are prepared with various values of fluid properties and flow conditions.     

粘性导电流体在磁场作用下流过多孔通道时传热传质振荡流的数值解——用于病理状态动脉中血液的流动

当血管内壁出现多孔性结构时,流过多孔性血管的血液将作不稳定的MHD流动.研究血液在其中的传热传质问题,考虑了与时间相关的渗透率和振荡引起的吸入速度,并数值地求解该问题.对分析中出现的参数取不同数值时,图形给出了速度、温度、浓度场,以及表面摩擦因数、Nusselt数和Sherwood数的计算结果.研究表明,血液流动受磁场和Grashof数的影响明显.     

Numerical study of flow and heat transfer during oscillatory blood flow in diseased arteries in presence of magnetic fields

A problem motivated by the investigation of the heat and mass transfer in the unsteady magnetohydrodynamic(MHD) flow of blood through a vessel is solved numerically when the lumen of the vessel has turned into the porous structure.The time-dependent permeability and the oscillatory suction velocity are considered.The computational results are presented graphically for the velocity,the temperature,and the concentration fields for various values of skin friction coefficients,Nusselt numbers,and Sherwood numbers.The study reveals that the flow is appreciably influenced by the presence of a magnetic field and also by the value of the Grashof number.     

肋条湍流减阻机理的研究

本文采用热线实验和大涡模拟数值计算方法,对三角形肋条的局部摩擦阻力和表面流场进行了测量和模拟,并对肋条的减阻机理进行了分析。结果发现,在整体减阻情况下,肋条表面局部摩擦阻力在展向位置分布不均匀,在肋尖附近区域为局部增阻区,在肋底附近为局部减阻区。在此基础上,通过涡动力学分析建立了局部摩擦力和流场涡运动之间的理论关系式,定量得出法向涡量和展向涡量的扩散流率是决定壁面摩擦阻力的两个因素。进一步研究发现,法向涡量和展向涡量的扩散流率主要集中在肋尖及其两侧,使得该区域能量输运和耗散强烈,形成局部增阻区。而在肋底附近,法向涡量和展向涡量的扩散流率较小,涡运动微弱,形成局部减阻区。     

On the uniformly valid asymptotic solution of non-linear Dirichlet problem

In this paper, Dirichlet problem for second order quasilinear elliptic equation with a small parameter at highest derivatives is studied. In case degenerate equation has no singular point and parameter is sufficiently small, the existence and uniqueness of solution are proved, and the uniformly valid asymptotic solution is derived on the entire domain.     

General Solution for Unsteady Natural Convection Flow with Heat and Mass in the Presence of Wall Slip and Ramped Wall Temperature

This work is focused on the effect of heat and mass transfer with unsteady natural convection flow of viscous fluid along with ramped wall temperature under the assumption of the slip wall condition at the boundary. Analytical solutions are obtained by using Laplace transformation to the non-dimensional set of governing equations containing velocity, temperature and concentration. Moreover, the expression for skin-friction is derived by differentiating the analytical solutions of fluid velocity. Numerical tables for Skin-friction, Sherwood number and Nusselt-number are examined. For the physical aspects of the flow, we use various values of involved physical parameters such as Prandtl number (Pr), slip parameter ($\eta$), Schmidt number (Sc), buoyancy ratio parameter ($N$), Sherwood number (Sh), and time $(t)$. Additionally, the general solutions are plotted graphically and a comprehensive theoretical section of numerical discussions is included.