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العنوان
Study of Some Mathematical Problems on Peristaltic Motion of a Compressible Fluid containing Suspended Particles /
المؤلف
Kroush, Faisal Abdelmaqsaud Ahmed Ali.
هيئة الاعداد
باحث / فيصل عبد المقصود احمد علي كروش
مشرف / رمزي محمد عبدالرحمن أبومندور
مناقش / محمد هلال كامل هلال
مناقش / وجيه أحمد عبدالفتاح العسكري
الموضوع
Aerodynamics. Compressibility. Fluid dynamics.
تاريخ النشر
2020.
عدد الصفحات
150 p. :
اللغة
الإنجليزية
الدرجة
ماجستير
التخصص
الهندسة الميكانيكية
تاريخ الإجازة
11/1/2020
مكان الإجازة
جامعة المنوفية - كلية الهندسة - قسم العلوم الأساسية الهندسية
الفهرس
Only 14 pages are availabe for public view

from 150

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Abstract

Peristalsis is a synchronized reaction in which a wave of contraction is transported by a wave of relaxation. This kind of motion gets more attention of researchers and physiologists because its wide using in the technological and biomedical applications Peristaltic mechanism plays a vital role in transporting fluids many biological organs in the living bodies. For examples, swallowing food through esophagus, movement of food through the large intestine, movement of chyme in intestine, movement of ovum in the fallopian tube, transport of the spermatozoa in cervical canal, transport of bile in the bile duct, transport of lymph in the lymphatic, circulation of blood in small blood vessels and transport of urine from kidney to urinary bladder. Also, the basic principle of peristalsis helps in designing peristaltic pumping which used in many practical applications involving biomechanical systems such as roller, finger pumps and heart-lung machine.
Recently, the compressibility of liquid has a substantial impact on the characteristics of the fluid motion, thus it gets the attention of many investigators. The suspension flow has an important action in a lot of engineering applications and biological field. The theory of two-phase flow appears in several conditions as sedimentation, combustion, powder technology, aerosol filtration, lunar ash flow and fluidization.
There are several examples of natural porous medium such as the human lung, gall bladder with stones, bile duct, through small blood vessel, beach sand and wood. In some cases of pathological situations, the circulation of fatty cholesterol and artery clogging blood clots through the lumen of coronary artery may be considered as space porosity. The impact of Bioheat transfer is clearly appears in the handling of cancer cells. In the case of some types of fluids such as rarefied gases and the flow of polymers , slip phenomenon take placing at the walls.
The external magnetic field has a significant impact on the biological systems such as the effects on the blood flow within human arterial system. Lately, several researchers discussed the characteristic of blood flow with the impact of an external magnetic field the impact of slip conditions on the peristaltic transport of a particle-fluid suspension compressible through a planar channel analytically and the second part is to discuss the additional effects of both magnetic field and porous medium through rectangular channel by applying a semi analytical technique of a perturbation method. Also, the third part show the impact of bioheat transfer in the presence of slip boundary conditions on the characteristic of the peristaltic motion of a compressible fluid carrying small particles through a channel.
Chapter 1 contains general information for the main items:
▪ The elements of Biomechanics (statics, dynamics, kinematics and kinetics).
▪ Biofluid mechanics ( Biofluid dynamic.)
▪ Peristaltic motion.
▪ Flow through porous medium.
▪ Compressible fluids and its basic equations.
▪ Slip flow.
▪ Magneto-Fluid flow and its basic equations.
▪ Two phase flow with particle-fluid suspension
▪ Heat transfer and bioheat.
▪ Perturbation method.
▪ Motivation and aim of this thesis.
Chapter 2 handles the peristaltic flow of a particle-fluid suspension (as blood model) through asymmetric two-dimension channel with slip conditions. The problem formulation is presented for a duct filled with a compressible viscous fluid mixed with rigid spherical particles. The resulting problems are solved by the Perturbation expansion method. The different physical parameters such as particles concentration, compressibility parameter and slip parameter are given and discussed graphically. It is found that the mean axial velocity increases as the slip parameter increases at a minimal compressibility parameter and it decreases at a higher value of compressibility parameter with increasing slip parameter. This study gives a scope for estimating the effects of the slip conditions of two-phase flow characteristics with compressible fluid problems and helps to understand the role of the engineering applications of pumping solid-fluid mixture by peristaltically driven motion.
Chapter 3 the influence of a magnetic field condition on the peristaltic transport of a particle-fluid suspension through a porous medium in an asymmetric two-dimension channel will be discussed. The problem formulation is presented through a duct filled with a compressible fluid mixed with rigid spherical particles. The perturbation expansion technique is used to get the solution of velocity field analytically. The effects of different parameters such as magnetic parameter, permeability parameter, compressibility and particle concentration on the velocity field are discussed through a set of figures. Several known results of interest are found to follow as particular cases of the solution of the issue considered.
Chapter 4 the effects of heat transfer conditions are analyzed on compressibility and suspension particulate peristaltic flow through asymmetric two-dimensional duct. The analytical solutions for velocity and temperature fields are getting by applying the perturbation technique which solves a nonhomogeneous partial differential equation. The influences of Prandtl number, Grashof number, liquid compressibility and particulate suspension on the velocity, temperature fields and pumping characteristics are analytically and graphically discussed.
Chapter 5 more details about the influences of heat transfer on the interaction between the suspension particulate and compressibility of peristaltic flow through an asymmetric two-dimensional duct with the effects of slip conditions are given. The perturbation technique is used to solve nonhomogeneous partial differential equations so that it is applying to get the analytical solutions for velocity and temperature profiles. The effects of parameters such as particulate suspension, liquid compressibility, Grashof number, Prandtl number and Knudsen number on the velocity and temperature profiles are analytically and graphically illustrated.
Chapter 6 the main conclusions are extracted and future work is planned.