Oscillating Pressure Gradient-driven Unidirectional Viscous Flow in a 2D Channel
Journal Title: International Journal of Innovation in Science and Mathematics - Year 2018, Vol 6, Issue 2
Abstract
A unidirectional viscous flow in a two-dimensional channel is driven by an oscillating pressure gradient. The channel walls are at y = 0, 2h and the pressure gradient is –rho with respect to x = G*cos(sigma*t). We determine the velocity profile u(y,t) for the streamwise flow and comment on how this changes in character as the frequency varies. We show that the viscous shear stress on the lower wall, in the high frequency limit, is out of phase by pi over 4 compared to the pressure gradient. As the problem is linear, the flow has the same frequency as the pressure gradient; so, u can be written as Re{q(y) exp (i*sigma*t)} for some function q(y), which can be separated into real and imaginary parts.
Authors and Affiliations
Steve Anglin
Keywords
Related Articles
- EP ID EP498471
- DOI -
- Views 71
- Downloads 0
Infinity Paradoxes in the Light of its More Accurate Algebraic Representation
Even though having the same cardinality, infinities are not all identical. In this paper it will be shown that a more opportune algebraic representation of infinity can complete the perspective of it and, in some cases,...
Photon Mass
The atomic structure is presented on the basis of the theory of vortex gravitation. The feasibility and calculation of the values of the density and mass of electromagnetic particles are proposed. A calculation is made,...
An Investigation and Research on the Current Situation of the Teaching Skills of Young Mathematics Teachers
The development of education is the top priority of the national development. Teachers play an important role in education, and the growth of young teachers is the key to the construction of teaching staff. Although youn...
Multi-hop HF Radio Propagation Model Based on Multi-Paths Attenuation
In this paper, we mainly solve the multi hop frequency radio propagation problem for radio propagation on the sea surface and establish model to solve. In high frequency radio communication, two paths are mainly consider...
Modelling of Optimum Number of Insulin Receptors in the Hepatic Cell using Queuing Theory
Insulin is the signal for the body to absorb glucose from the blood. Insulin plays an important role especially in the liver, muscles and adipose cell in homeostasis of blood glucose concentration. The action of insulin...