Unsteady Flow between Two Orthogonally Moving Porous Disks

Abstract

The unsteady laminar incompressible flow of a fluid between two orthogonally moving porous coaxial disks is considered numerically. A transformation is used to reduce the governing partial differential equations (PDEs) to a set of nonlinear coupled ordinary differential equations. The effects of physical parameters of interest such as the wall expansion ratio and the permeability Reynolds number on the velocity are discussed in detail.

Unsteady Flow of a Casson Fluid between Two Orthogonally Moving Porous Disks: A Numerical Investigation

“…The following conclusions can be drawn. http://www.ispacs.com/journals/cna/2017/cna-00291/ International Scientific Publications and Consulting Services  For purely hydrodynamic Newtonian flow ( = 0, → ∞), our numerical results are found in good agreement with Ghaffar et al [30].  Skin friction ′′ (−1) at the lower disk increases by increasing the strength in the permeability Reynolds number for expanding disk.…”

Theoretical investigation of unsteady MHD flow within non-stationary porous plates

“…In the light of optimal homotopy asymptotic method ( Xu et al, 2010 ; Ghaffar et al, 2015 ; Marinca and Herişanu, 2010 ; Iqbal et al, 2010 ; Javed et al, 2010 ; Dauenhauer and Majdalani, 2003 ; Javed et al, 2014 ), the form of equation is as follows: Here Ω is the domain. The operator in equation (3) is The optimal homotopy constructed by OHAM is as follows with Here the embedding parameter p has the property and is known as an auxiliary function with in the equation (4) and with .…”

“…The following is the result if series is convergent at : The residual expression obtained by substituting equation (6) into (3) is Note that results the exact solution if , which in nonlinear problems not generally happens. Using the method as mentioned in ( Xu et al, 2010 ; Ghaffar et al, 2015 ; Marinca and Herişanu, 2010 ; Iqbal et al, 2010 ; Javed et al, 2010 ; Dauenhauer and Majdalani, 2003 ; Javed et al, 2014 ). The values of the constants , can be determined.…”

“…Now for finding values of the constants and shown in Eq. (16) , by the method of least squares ( Xu et al, 2010 ; Ghaffar et al, 2015 ; Marinca and Herişanu, 2010 ; Iqbal et al, 2010 ; Javed et al, 2010 ; Dauenhauer and Majdalani, 2003 ; Javed et al, 2014 ) implies that with gives the values of constants and , where and here R for the equation (1) is With , , and for varying values of R , the equations (17) and (18) give the following values of constants shown in Table 1 .…”

“…Xu et al ( Xu et al, 2010 ) extended of the Majdalani's work by accumulation the factor on unsteady flow. Ghaffar et al ( Ghaffar et al, 2015 ) offered the outcomes of time-dependent stream amid two movable porous plates with adjustable wall enlargement. Stimulated by the investigations stated overhead, the determination of the existing effort is to investigate the OHAM of the MHD based unsteady stream of a viscid liquid amid two PPP.…”