Consider a two-dimensional laminar flow between two plates, so that $$(x_1,x_2)\in {{\mathbb {R}}}\times [-1,1]$$ , given by $${{\mathbf {v}}}(x_1,x_2)=(U(x_2),0)$$ where $$U\in C^4([-1,1])$$ satisfies $$U^\prime \ne 0$$ in $$[-1,1]$$ . We prove the is linearly stable large Reynolds number limit, different cases: assume either no-slip or fixed traction force (Navier-slip) conditions on and an a...

We demonstrate a novel strategy for mixing solutions and initiating chemical reactions in microfluidic systems. This method utilizes highly focused nanosecond laser pulses from a Q-switched Nd:YAG laser at lambda = 532 nm to generate cavitation bubbles within 100- and 200-microm-wide microfluidic channels containing the parallel laminar flow of two fluids. The bubble expansion and subsequent co...

Magnetohydrodynamic (MHD) control of hypersonic laminar separation flows is investigated in this paper. A series numerical simulations over various geometry configurations, namely, a compression corner and double wedge ramp inlet, have been conducted by application an external electromagnetic field. Results show that the performance MHD flow mainly determined acceleration Lorentz force directed...

This paper reviews analytical solutions for the accelerated flow of an incompressible Newtonian fluid in a pipeline. problem can be solved one two ways according to (1) imposed pressure gradient or (2) rate. Laminar presented number publications concern cases where driving mechanisms are described by simple mathematical functions: (a) impulsive change; (b) constant (c) ramp change, etc. The ado...