An Accurate MHD Flux Solutions of a Viscose Fluid and Generalized Burgers' Model fluxwithin an Annular Pipe Under Sinusoidal Pressure

Hanan F Qasim

doi:10.30526/31.1.1840

Abstract

The aim of this work presents the analytical studies of both the magnetohydrodynamic (MHD) flux and flow of the non-magnetohydro dynamic (MHD) for a fluid of generalized Burgersâ€™ (GB) withinan annular pipe submitted under Sinusoidal Pressure (SP)gradient. Closed beginning velocity's' solutions are taken by performing the finite Hankel transform (FHT) and Laplace transform (LT) of the successivefraction derivatives. Lastly, the figures were planned to exhibition the transformations effects of different fractional parameters (DFP) on the profile of velocity of both flows.

Highlights

Different studies were performed on a generalized Oldroyd-B(GO-B) fluid flux includes those from Zheng et al [3], Khan et al [4], and Sultan et al [5]
The accurate solution for the distribution of velocity is performed by implying the (FHT) Garg et al [15] and discrete (LT) of the sequential fractional derivatives
In the same way as calculating the flux of the first problem we find Eq (24), the according fractional partial differential equation that term such fluxhas the shape

Summary

Introduction

Different studies were performed on a generalized Oldroyd-B(GO-B) fluid flux includes those from Zheng et al [3], Khan et al [4], and Sultan et al [5]. Zheng et al [9], and Nazar et al [10] talk overMaxwell fluid flux because of a plate, with fixed velocity. Whereas Khan et al [12], Khan et al [13], with Khan and Shafie, [14] described the exact solutions for the flux of an MHD (GB) fluid. The accurate solution for the distribution of velocity is performed by implying the (FHT) Garg et al [15] and discrete (LT) of the sequential fractional derivatives.

Results

Conclusion