MEEM 5240: Computational Fluid Dynamics
Driven Cavity Flow Problem by the Marker and Cell
Two-dimensional-driven cavity flow problem
Using any programming language on any computer platform, model the flow in a driven cavity. The cavity is of size 1 by 1 and the velocity at the top is
1.Using the nondimensional formulation, select a
Reynolds number equal to 10 and compute upto steady state. Use primitive variables (pressure and velocity) and staggered grid (the Marker and Cell method). Explain briefly the finite difference method used for the problem and tests conducted to demonstrate the accuracy of your solution. Include a printout of your programming code and plots of the steady-state solution of velocity vectors and vorticity for a few different resolutions. Proper adjustment needs to be made to co-locate the grid point (x,y) and the solution variables for plotting purpose. Identify a reasonable way to define the numerical error for various spatial resolutions and check the order property by plotting a log-log curve (error vs. grid size).
Ashish Pandita , Soroush Sepahyar
Project : Driven Cavity Flow using MAC grid
Ashish Pandita , Soroush Sepahyar
Project : Driven Cavity Flow using MAC grid
Top wall moving horizontally with velocity 1, remaining walls stationary
The lid-driven cavity flow is most probably one of the most studied fluid problems in the field of computational fluid dynamics. The simplicity of the geometry of the cavity flow
makes
[]In “Finding Flow” Mihaly Csikszentmihalyi explores the idea of what it means “to live” (544). Csikszentmihalyi compares living with his idea to flow. Throughout the “Finding Flow” excerpt, Csikszentmihalyi discusses the idea of flow is to have a clear and concise goal, provide immediate feedback, and to balance skills and action opportunities (548).
Q1. In 1944, at the beginning of his book What is Life, the great physicist Erwin Schrodinger asked the following question: “How can the events in time and space which take place within the spatial boundary of a living organism be accounted for by physics and chemistry?" What would be your answer today?
- Human body is erect, with the feet only slightly apart, head and toes pointed forward, and arms hanging at the sides with palms facing forward.
Explain the effect that increasing the Na+ Cl- concentration has on osmotic pressure and why it has this effect. How well did the results compare with your prediction?
Diffusion and Osmosis Experiment with a Shell-Less Egg After Three days of Testing Methods with Water and Corn Syrup
Assuming no viscous forces present an inviscid model has been used for the calculations. Also from the equation of the Reynolds number Re=ρvl/μ due to Re being really big rearranging and assuming v and l to be constant the viscous force μ =ρvl/Re becomes negligible.
1. Chamberlain et al. Effects of Tonicity on Cell Membrane . Human Physiology Labratory Manual, 8th Edition, Expt 6 part C and D
Unit three “Cell Processes” has taught me many things and how cell processes work. In Unit three I learned many things including what the cell theory, the cell processes and what the cell membrane does. In this unit we did labs including the Diffusion Lab which we had a egg in vinegar to see if the egg would become hypotonic, hypertonic or isotonic, then we put the egg in maple flavored syrup or corn syrup to see if it was isotonic, hypotonic or hypertonic. Another thing I learned is that Osmosis is the way. Another lab was the Balloon Mini lab which was when our class picked up balloons and we could smell the vanilla extract that permeated the latex balloon.
What happens to the urea concentration in the left beaker (the patient)? It mixes with the water to balance out the structure.
The purpose of these experiments is to examine the driving force behind the movement of substances across a selective or semiperpeable plasma membrane. Experiment simulations examine substances that move passively through a semipermeable membrane, and those that require active transport. Those that move passively through the membrane will do so in these simulations by facilitated diffusion and filtration. The plasma membrane’s structure is composed in such a way that it can discriminate as to which substances can pass into the cell. This enables nutrients to enter the cell, while keeping unwanted substances out. Active
All cells contain membranes that are selectively permeable, allowing certain things to pass into and leave out of the cell. The process in which molecules of a substance move from an area of high concentration to areas of low concentration is called Diffusion. Whereas Osmosis is the process in which water crosses membranes from regions of high water concentration to areas with low water concentration. While molecules in diffusion move down a concentration gradient, molecules during osmosis both move down a concentration gradient as well as across it. Both diffusion, and osmosis are types of passive transport, which do not require help.
Cells are always in motion, energy of motion known as kinetic energy. This kinetic energy causes the membranes in motion to bump into each other, causing the membranes to move in another direction – a direction from a higher concentration of the solution to a lower one. Membranes moving around leads to diffusion and osmosis. Diffusion is the random movement of molecules from an area of higher concentration to an area of lower concentration, until they are equally distributed (Mader & Windelspecht, 2012, p. 50). Cells have a plasma membrane that separates the internal cell from the exterior environment. The plasma membrane is selectively permeable which allows certain solvents to pass through
If the solution in the left beaker contained both urea and albumin, which membrane(s) could you choose to selectively remove the urea from the solution in the left beaker? How would you carry out this experiment?
Only uncharged, small, polar molecules, (such as water) and hydrophobic molecules, (such as oxygen, carbon dioxide) and lipid-soluble molecules (such as hydrocarbons) can freely pass across the membrane. All ions and large polar molecules (such as glucose) are not permeable to the membrane.
Purpose: The purpose of this lab is to familiarize you with osmosis and, specifically, what happens to cells when they are exposed to solutions of differing tonicities.