A fluid is a substance that deforms continuously when subjected to a shear stress. A simplified definition is that it is a substance that is able to flow smoothly and changes it’s shaped when a force is acted upon it. There are different types of fluids. Ideal Fluids and Newtonian as examples. An ideal fluid is a substance that has zero viscosity and is considered to be incompressible (density is constant). [2] In reality, there is no such thing as ideal fluids as there are always viscous effects, but are used to simplify calculations. A Newtonian fluid is a substance when there viscous stresses are linearly proportional to the shear rate. [3] Air behaves like an ideal fluid and is also a Newtonian Fluid. The flow field around a cylinder…
Table of Contents 1. Fluid Mechanics 1.1 Main Branches 1.1.1 Fluid Statics 1.1.2 Fluid Dynamics 1.2 Non-Newtonian and Newtonian Fluids 1.3 Fluids in technology 1.4 Fluid mechanics serving role in society 2. Capillary Effect 3. Self Perpetual motion 1. Fluid mechanics Fluid mechanics is related to the fluids that are in motion and forces acting on them. Fluid mechanics has two branches fluid statics and fluid dynamics. In Fluid Mechanics we actually observe fluid motion and…
A fluid in which the viscous stresses taken place from its flow at all the point are linearly proportional to the rate of change in its deformation over time is called Newtonian fluid. Newtonian fluid explains the relationship between the shear rate and the shear stress is linear with the proportionality constant, which is to be referred as the coefficient of viscosity. Non-Newtonian fluid is a fluid where the properties of fluid flow are not similar with Newtonian fluid. In Newtonian fluids,…
Computational Fluid Dynamics Computational fluid dynamics (CFD) is the simulation of fluids in engineering systems using modeling such as mathematical physical problem formulation and numerical methods like discretization methods, solver, numerical parameters and grid generation. Computational fluid dynamics is based on the concept of Reynolds averaging of the unsteady Navier-Stokes equation commonly known as (RANS) which are considered by Leishman to be the most adaptable method for…
Equation to Fluid Dynamics Bernoulli’s equation has been used widely in an engineering aspects, the conservation of energy is the most famous one. This paper will talk about the application of Bernoulli’s equation to fluid dynamics. Fluids flow can be in different forms, such as water in the ocean, blood within our body and etc. Thus, it is necessary to study the mechanism of fluids. In the year of 1738, Daniel Bernoulli published a book called Hydrodynamica, which introduces a principle that…
2.3 Computational fluid dynamics Computational fluid dynamics or commonly abbreviated as CFD is the branch of fluid dynamics which is applied to simulate fluid flow, heat transfer, and associated phenomena such as chemical reactions by the numerical solution of the governing equations to analyze complex flows system such as complex turbulent flow (Versteeg and Malalasekera, 1995). Therefore, CFD has often been provided as the tool for testing of conditions which are not possible or difficult…
Blood Flow as a Casson Fluid 1 THE PROBELM This problem was chosen from Problems for Biomedical Fluid Mechanics and Transport Phenomena section 8, because of my interest in biomedical engineering. How the body works on the most fundamental chemical and physical levels is something that has always fascinated me. This problem, and others in the section on blood flow, offered me a chance to delve deeper into how the body works as well as transport phenomena. The problem gave us a solved velocity…
Fluid dynamics and Bernoulli's equation Moving fluids Fluid dynamics is the study of how fluids behave when they're in motion. This can get very complicated, so we'll focus on one simple case, but we should briefly mention the different categories of fluid flow. Fluids can flow steadily, or be turbulent. In steady flow, the fluid passing a given point maintains a steady velocity. For turbulent flow, the speed and or the direction of the flow varies. In steady flow, the motion can be represented…
Cerebrospinal fluid Cerebrospinal fluid is important to our body because it can help brain distribute the impact when a head gets injury so that it acts like a cushion, dulling the force. Cerebrospinal fluid is one part of the extracellular of the central nervous system and it is a clear, transparent, bodily fluid that occupies the subarachnoid space and the ventricular system around the brain and spinal cord. The Cerebrospinal fluid is produced by choroid plex, which is a structure in…
5. SUMMARY We have derived Laplace's equation for steady-state water flow in two dimensions and have explained how the equation is solved by three Relaxation Methods: Jacobi, Gauss Siedel and Successive Over-Relaxation on a discrete 20 10 grids. The numerical method was illustrated by a Matlab programming code. 6. References [1] John D. Anderson, JR (1995). Computational Fluid Dynamics: The Basics with Applications .McGraw Hill, Inc. [2] Anderson, J.D. (1995). Computational Fluid Dynamics.…