Applying Dimensional Analysis to the human anatomy studies, it was found that the velocity, c, at which pressure pulses travel through arteries is a function of the artery diameter, D, and wall thickness, h, the density of blood, p, and the modulus of elasticity, E, of the arterial wall. Perform a dimensional analysis for this study showing all the steps using the density of blood, p, artery diameter, D, and the modulus of elasticity, E, as the repeating variables in either FLT system or MLT system. (i)

Applying Dimensional Analysis to the human anatomy studies, it was found that the velocity, c, at which pressure pulses travel through arteries is a function of the artery diameter, D, and wall thickness, h, the density of blood, p, and the modulus of elasticity, E, of the arterial wall. Perform a dimensional analysis for this study showing all the steps using the density of blood, p, artery diameter, D, and the modulus of elasticity, E, as the repeating variables in either FLT system or MLT system. (i)

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)

8th Edition

ISBN:9781305387102

Author:Kreith, Frank; Manglik, Raj M.

Publisher:Kreith, Frank; Manglik, Raj M.

Chapter5: Analysis Of Convection Heat Transfer

Section: Chapter Questions

Problem 5.13P: 5.13 The torque due to the frictional resistance of the oil film between a rotating shaft and its...

See similar textbooks

Similar questions

When a sphere falls freely through a homogeneous fluid, it reaches a terminal velocity at which the weight of the sphere is balanced by the buoyant force and the frictional resistance of the fluid. Make a dimensional analysis of this problem and indicate how experimental data for this problem could be correlated. Neglect compressibility effects and the influence of surface roughness.
Applying Dimensional Analysis to the human anatomy studies, it was found that the velocity, c, at which pressure pulses travel through arteries is a function of the artery diameter, D, and wall thickness, h, the density of blood, p, and the modulus of elasticity, E, of the arterial wall. (i) Perform a dimensional analysis for this study showing all the steps using the density of blood, p, artery diameter, D, and the modulus of elasticity, E, as the repeating variables in either FLT system or MLT system.
(b) Applying Dimensional Analysis to the human anatomy studies, it was found that the velocity, c, at which pressure pulses travel through arteries is a function of the artery diameter, D, and wall thickness, h, the density of blood, p, and the modulus of elasticity, E, of the arterial wall. (i) Perform a dimensional analysis for this study showing all the steps using the density of blood, p, artery diameter, D, and the modulus of elasticity, E, as the repeating variables in either FLT system or MLT system. (ii) Atherosclerosis is the thickening of the arteries caused by a build-up of plaque in the inner lining of an artery. With the aid of dimensional analysis, determine how the velocity will change if the wall thickness is doubled while keeping all other parameters constant.
MLT By dimensional analysis, obtain an expression for the drag force (F) on a partially submerged body moving with a relative velocity (u) in a fluid; the other variables being the linear dimension (L), surface roughness (e), fluid density (p), and gravitational acceleration (g).
The speed of sound c in an ideal gas is known to be a function of absolute temperature T, universal ideal gas constant Ru, molar mass (molecular weight) M of the gas, and ratio of specific heats k. Showing all your work, use dimensional analysis to find the functional relationship between these parameters.
Suppose we know little about the strength of materials butare told that the bending stress σ in a beam is proportionalto the beam half-thickness y and also depends on thebending moment M and the beam area moment of inertiaI . We also learn that, for the particular case M = 2900in ∙ lbf, y = 1.5 in, and I = 0.4 in4 , the predicted stressis 75 MPa. Using this information and dimensional reasoningonly, find, to three significant figures, the onlypossible dimensionally homogeneous formula σ=y f ( M , I ).
The pressure drop AP in flow through pipes per unit length is found to depend on the average velocity u, diameter d, density of the fluid p, and viscosity u. Using MLT set of dimensions evaluate the dimensionless parameters correlating this phenomenon.
Evaluate the use of dimensionless analysis using the Buckingham Pi Theorem for a given fluid flow system (D4) , where resistance tomotion ‘R’ for a sphere of diameter ‘D’ moving at constant velocity on the surface of a liquid is due to the density ‘ρ’ and the surfacewaves produced by the acceleration of gravity ‘g’. The dimensionless quantity linking these quantities is Ne= Function (Fr). To do thisyou must apply dimensional analysis to fluid flow system given in Figure 1 (P11). PICTURE IS ALSO ATTACHED
Q3: The power output (P) of a marine current turbine is assumed to be a function of velocity U, blade length L, angular velocity o, fluid density p and kinematic viscosity v. wL UL (a) Use dimensional analysis to show that, PU3L2 %3D (b) In a full-scale prototype the current velocity U = 2.0 m/s and the angular velocity is w = 15 rpm. A 1:10 scale laboratory model is to be tested in fluid of the same density with angular velocity o = 60 rpm. What velocity should be used in the model tests? (c) If the power output in the model tests is 200 W, what power output would be expected in the prototype?
The drag force FD acting on a ship depends on the forward speed V , the fluid density ρ and viscosity µ, gravity, its length L and width B and the average roughness height k. (a) Use dimensional analysis to express this information in terms of a functional dependence on nondimensional groups. (b) If the ship moved from fresh water to salt water, where the density and viscosity are both increased by 10%, how would its drag force change at fixed speed?
During World War II, Sir Geoffrey Taylor, a British fluid dynamicist, used dimensional analysis to estimate theenergy released by an atomic bomb explosion. He assumed that the energy released E, was a function of blastwave radius R, air density ρ, and time t. Arrange these variables into single dimensionless group, which we mayterm the blast wave number.
The force (F) acting on a particle moving in a fluidized bed depends: the mass of the particle, it velocity, the density the fluid and the gravitational acceleration. Find the relation between these variables using dimensional analysis. With Rayleigh's method