PERISTALTIC PUMPING OF FLUID, EFFECTS OF POISEUILLE FLOW
PERISTALTIC PUMPING OF FLUID, EFFECTS OF POISEUILLE FLOW
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Date
1986-12
Authors
UWANTA, IME JIMMY
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Abstract
Peristaltic Pumping of Fluid.
Effects of Poiseuille Flow.
When a fluid is set into motion by a steady progressive
sinusoidal wave of moderate amplitude in a channel, a
basic Poiseuille flow caused by a uniform pressure became
present giving rise to problem of peristalsis. Peristalsis
is a muscle controlled flow. Since muscles are involved
as the walls are flexible or not flexible depending upon
each case, the fluid is propelled by rhythmic waves of
contraction called peristalsis (meaning to send around).
A typical peristaltic wave is preceeded by relaxation.
However, the strength and velocity of peristaltic contractions
are increased by impulses carried over the walls.
As the structures relax, the cycle begins again.
Peristalsis has been one of the major mechanisms
for fluid transport in many biological systems. The
study of mechanism of peristalsis in mechanical and
physiological situations has recently become the object
of scientific research since its first investigation by
Latham (1966) both experimental and theoretical because of
its importance to human lives.
The first chapter fives a survey of the literature
review, the contributions made to date, aim and scope of peristaltic fluid pumping to biomechanical systems.
The second chapter describes the interaction effect of
Poiseuille flow on peristaltic fluid-particle suspension
transport in a two-dimensional mathematical model when
the wall (inelastic) of the channel executes sinusoidal
motion of small amplitude. The approaches and formulations
in solving the mathematical model were for closed form
solutions, solution for low Reynolds number, higher order
Reynolds number, Stokes approximation, long wave approximation
and for series solution. As the volume fraction
density is negligible, it has no effect on D. In chapter
three, the walls of the channel are flexible. The influence
of Poiseuille flow on pure peristalsis is investigated an:
the mean flow reversal is found to occur at the centre and
at the boundaries. when the walls of the channel are
elastic, pure peristalsis involves flow reversal only at
the centre. Analysis of the problem include formulation
of the problem, method of solution, pure peristalsis,
elastic wall, dissinative wall, closed form solution,
series solution and the results and dissicussion centring
on the effect of C and D, F(y) - F(l) etc thus increase
or decrease in C greatly affects other outputs. Chapter
four describes the motion of micropolar fluids as having
translatory degrees of freedom, the ability to rotate and
can support couple stresses which affected the mode ofmotion, a mark difference from other fluids.
The approach used were introducing the subject
micropolar fluid, analysis of the problem,
solution for free pumpinp case, interaction with
Toiseuille flow, Stokes approximation and solution
for higher Order Reynolds number.
Description
A THESIS SUBMITTED TO THE POSTGRADUATE SCHOOL,
AHMADD BELLO UNIVERSITY IN PARTIAL FULFILMENT
OF THE REQUIREMENTS FOR THE DEGREE OF MASTER
OF SCIENCE (MATHEMATICS).
Department of Mathematics,
Faculty of Science,
Ahmadu Bello University,
Zaria - Nigeria,
Keywords
PERISTALTIC PUMPING,, FLUID,, EFFECTS,, POISEUILLE FLOW,