Experiment 5

Shallow-water velocity equation a. Confirm that the linear approximation to f(x) = tanh x at a = 0 is L(x) = x. b. Recall that the velocity of a surface wave on the ocean 2nd tanh - In fluid dynamics, shallow is v = water refers to water where the depth-to-wavelength ratio d/A < 0.05. Use your answer to part (a) to explain why the shallow water velocity equation is v = Vgd. c. Use the shallow-water velocity equation to explain why waves tend to slow down as they approach the shore.

lease search online and find two more medical devices that use fluid mechanics in their design for diagnosis or treatment, directly or indirectly. Post your answer (one paragraph per medical device)

A new implantable drug delivery device is being developed in your lab. The device prototype is a very thin strip (0.1mm × 1mm × 15mm) of polymer coated on both sides with 22 milligrams of solid drug particles. To test the drug delivery profile, you "implant the device by suspending it in a homogenous model fluid that has following properties: viscosity = 0.0018 Pa.s, density = 1.32 g cm^-3, temperature = 37°C. The diffusivity of the drug is estimated to be 2.113×10^-6 cm^2/S. 1. Determine how far the drug would penetrate into the fluid in 2.2 hours.

Fluid Mechanics Problem:  Assume all fluids are 20oC.

Biotransport Phenomena

Use image below Solve carefully QUESTION DOWN BELOW

1. Answer the following questions: (a) What is the physical meaning of the following: D a +V.v at Dt where V is the velocity vector of the flow field. (b) Let the viscous stress tensor be denoted by 7. How is the surface (vector) force f, acting by the fluid on a surface element ds (with unit normal în ) computed? Give your answer in vector notation and also in index notation. What is the physical meaning of Ty ? (c) Write down the work done on a material volume of fluid by the viscous surface force in vector notation and also in index notation. (d) Write down the amount of conduction heat flux 'q' (a scalar) on a surface element ds (with unit normal în ) in vector notation and also in index notation.

PLEASE BOX YOUR ANSWERS Problem 2 In an experiment conducted in a laboratory, the surface tension (Y) acting on a rotating square plate in a viscous fluid is a function of the external torque (t), plate length (a), area moment of inertia of plate (I), specific weight of the fluid (Y) and angular displacement of the plate (0). Using Buckingham-Pi theorem, find a suitable set of pi terms (in M, L and T primary dimensions). Your final answer should be written in proper functional form. Refer Table 5.1/ page-296 for secondary dimension of the variables.

Hello Expert, Please assist with this Fluid Mechanics Question. Kindly answer correctly and show ALL the steps.   Thanks in advance

How is the Eulerian description of fluid motion differ from the Lagrangian description? (select all that apply) a. In the Eulerian description of fluid motion, we are concerned with field variables. b. Lagrangian framework can be suitable for tracking sediments and debris such as plastics in water. O c. Both descriptions are based on observers point of view.

In April 2010, the worst oil spill ever recorded occurred when an explosion and fire on the Deepwater Horizon offshore oil-drilling rig left 11 workers dead and began releasing oil into the Gulf of Mexico. One of the attempts to contain the spill involved pumping drilling mud into the well to balance the pressure of escaping oil against a column of fluid (the mud) having a density significantly higher than those of seawater and oil.In the following problems, you may assume that seawater has a specific gravity of 1.03 and that a hypothetical subsea wellhead is 7167 ft below the surface of the Gulf.             Gauge Pressure Estimate the gauge pressure (psig) in the Gulf at a depth of 7167 ft. ______psig

I need help correcting this problem (incorrect attempts are attached). Please step-by-step.

In fluid mechanics, which of the following are true:  (a) Fluid mechanics is the branch of science concerned with stationary fluids  (b) Fluids like water posses only potential energy  (c) The field of fluid mechanics is infinite and endless  (d) It is a branch of physics which concerns the study of liquids and the ways in which they interact with forces  (e) It is a sience concerned with the response of fluids to forces exerted upon them,  (f) the fluid which is in state of rest is called as static fluid and its study is called as statics.

Please help me to answer question (B) by today with explanation. thank you

Blood is a solution composed of different kinds of cells (red blood cells, platelets, white blood cells, etc.) suspended in plasma. (1) Assuming that the cells have a typical radius of ~6μm, can blood be considered a fluid at all lengthscales? Explain your reasoning in a sentence or two. (2) If it is considered a fluid, would you expect it to behave like a Newtonian or Non-Newtonian fluid?

Subject: fluid mechanics Please provide those 2 number a complete solution.

Fluid mechanics I

An incompressible fluid flows in a linear porous medium with the following properties: Lenth = 3000 ft k = 100 md p1 = 2000 psig p2 = 1980 psig height = 25 ft porosity = 20% width = 300 ft viscosity = 2 cP Assume the dimension is slanted, i.e., a dip angle of 5 degrees (downward from p1 location to p2 location), what is the apparent fluid velocity under this new boundary condition?

With reference to the attached example.  Apply dimensinal analysis to show that all values/units used are homogeneous.