Theoretical investigation of micropolar fluid flow between two porous disks

Abstract

The steady, laminar, incompressible and two dimensional micropolar flow between two porous disks was investigated using optimal homotopy asymptotic method (OHAM) and fourth order Runge-Kutta numerical method. Comparison between OHAM and numerical method shows that OHAM is an exact and high efficient method for solving these kinds of problems. The results are presented to study the velocity and rotation profiles for different physical parameters such as Reynolds number, vortex viscosity parameter, spin gradient viscosity and microinertia density parameter. As an important outcome, the magnitude of the microrotation increases with an increase in the values of injection velocity while it decreases by increasing the values of suction velocity.

Theoretical Investigation of Two-Dimensional Nonlinear Radiative Thermionics in Nano-MHD for Solar Insolation: A Semi-Empirical Approach

“…Fluid application Solution methods [13] Third grade non-Newtonian blood Collocation and optimal homotopy asymptotic methods [14] Pulsatile blood flow in femoral and coronary arteries Differential quadrature method [15] Two dimensional micropolar fluid between two porous disks Optimal homotopy asymptotic method [16] Micropolar fluid between porous and non-porous disk Optimal homotopy asymptotic method [17] Air-heating flat-plate solar collectors Optimal homotopy asymptotic and homotopy perturbation methods [18] Peristaltic nanofluid for drug delivery Differential transformation method [19] Nanofluid towards a stretching sheet fourth order Runge-Kutta numerical method [20] Solar energy induced stagnation-point fluid flow fourth-fifth order Runge-Kutta method [21] Solar energy incuded magneto-hydrodynamic nanofluid flow…”

“…Similarly, third grade non-Newtonian blood flow had also been investigated by solving their partial differential equations using differential quadrature method [14]. The performance of optimal homotopy asymptotic method (OHAM) found better as compared to fourth order Runge-Kutta numerical method, while investigating micropolar fluid [15]. OHAM had also been used for computational analysis of micropolar fluid flow [16].…”

Magnetohydrodynamic Flow of Micropolar Fluid and Heat Transfer Between a Porous and a Non-Porous Disk

“…Later, the flow of micropolar fluid between orthogonally moving porous disks was analyzed by Si et al, [18] using Homotopy based analytical method. Vatani et al, [19] and Valipour et al, [20] carried out an analysis of micropolar fluid flow between disks using optimal homotopy analysis method and compared the solution with numerical results obtained using the R-K method. Subsequently, Hasnain and Abbas [21] reported the entropy generation analysis on the mixed convective two-phase flow of micropolar and nanofluid in an inclined channel.…”

Theoretical analysis on nonlinear vibration of fluid flow in single-walled carbon nanotube

“…Most differential equations of engineering problems do not have exact analytic solutions, so approximation and numerical methods must be used. Recently, some different methods have been introduced to solving these equations, such as the variational iteration method (VIM) [22,23], homotopy perturbation method (HPM) [24,25], parameterized perturbation method (PPM) [26], differential transformation method (DTM) [27,28], modified homotopy perturbation method (MHPM) [29], least square method (LSM) [30][31][32], collocation method (CM) [33,34], galerkin method (GM) [35], optimal homotopy asymptotic method (OHAM) [36,37], and differential quadrature method (DQM) [38].…”