Numerical investigation of two-dimensional and axisymmetric unsteady flow between parallel plates

Squeezing unsteady nanofluid flow among two parallel plates with first‐order chemical reaction and velocity slip

“…Assuming the above conditions, the time‐dependent leading equations are written in this way 6,28 : $$$\frac{\,\partial u}{\partial x}+\frac{\partial v}{\partial y}=0,$$$ $$$\frac{\partial u}{\partial t}+u\frac{\partial u}{\partial x}+v\frac{\partial u}{\partial y}=-\frac{1}{\rho }\frac{\partial P}{\partial x}+\nu \left(\frac{{\partial }^{2}u}{\partial {x}^{2}}+\frac{{\partial }^{2}u}{\partial {y}^{2}}\right),$$$ $$$\frac{\partial v}{\partial t}+u\frac{\partial v}{\partial x}+v\frac{\partial v}{\partial y}=-\frac{1}{\rho }\frac{\partial P}{\partial y}+\nu \left(\frac{{\partial }^{2}v}{\partial {x}^{2}}+\frac{{\partial }^{2}v}{\partial {y}^{2}}\right),$$$ …”

“…As the symmetric nature of flow is considered, the associated boundary conditions are given by 6,42 $$$u=-L\frac{\partial u}{\partial y},\unicode{x02007}v={v}_{h}=\frac{{dh}}{{dt}},\unicode{x02007}T={T}_{H},\unicode{x02007}C={C}_{H}\,\text{at}\,y=h(t),$$$ $$$\frac{\partial u}{\partial y}=\frac{\partial T}{\partial y}=\frac{\partial C}{\partial y}=0\,\text{at}\,y=0.$$$…”

“…Further symmetric behavior of the liquid is considered (Figure 1). The current squeezing flow model is organized by considering the following assumptions: Assuming the above conditions, the time-dependent leading equations are written in this way 6,28 :…”

“…Rashidi et al 5 examined the squeezing flow of viscous incompressible liquid throughout two “parallel plates” and using homotopy analysis method they obtained a methodical solution. Raissi et al 6 inspected the squeezed consequences on heat and mass transport of viscous fluid. Qayyum and Khan 7 studied the time‐dependent axisymmetric “squeezing flow” of Newtonian liquid in an absorbent medium and scrutinized the consequences on fluid velocity.…”

Asymptotic analysis of MHD viscous fluid flow due to a rotating disc and a radially stretching-shrinking disc with Navier slip condition

“…They also studied the problem in which lower plate rotates and upper plate stretches or shrinks. Raissi et al [17] studied the squeezing flow of viscous fluid under the effects of heat and mass transfer. Mohyud-Din and Khan [18] investigated the nonlinear radiation effects on the flow of a Casson fluid flowing through parallel discs with the lower disc taken to be permeable and the upper one solid.…”