Blood of density 1,060 kg/m3 and viscosity 0.0034 Pa/s flows through an aorta with radius 0.013 m. The heart beats at a rate of 73 beats/min. A laboratory model of the aorta, consists of pumping water of density 999 kg/m3 and viscosity 0.0011 Pa/s flowing through a pipe of radius 0.010 m. In order to achieve Womersley number similarity calculate the period of the in-vitro cycle. Give your answer in seconds.

Blood of density 1,060 kg/m3 and viscosity 0.0034 Pa/s flows through an aorta with radius 0.013 m. The heart beats at a rate of 73 beats/min. A laboratory model of the aorta, consists of pumping water of density 999 kg/m3 and viscosity 0.0011 Pa/s flowing through a pipe of radius 0.010 m. In order to achieve Womersley number similarity calculate the period of the in-vitro cycle. Give your answer in seconds.

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.

Chapter6: Forced Convection Over Exterior Surfaces

Section: Chapter Questions

Problem 6.32P

See similar textbooks

Similar questions

Q.No.5: (a) Develop an equation by using pi-theorem for the shear stress in a fluid flowing in a pipe assuming that the stress is a function of the diameter and the roughness of the pipe, and the density, viscosity and velocity of the fluid. (b) A model of a torpedo is tested in a towing tank at a velocity of 24.4 m/s. The prototype is expected to attain a velocity of 246 m/min in 15.6°C water. (i) What model scale has been used? (ii) What would be the model speed it tested in a wind tunnel under a pressure of 290 psi and at constant temperature 26.77°C?
Oil (kinematic viscosity, v = 1.0 x 10-5 m³/s) flows through a pipe of 0.5 m diameter with a velocity of 10 m/s. Water (kinematic viscosity, V = 0.89 x 10-6 m²/s) is flowing through a model pipe of diameter 20 mm. For satisfying the dynamic similarity, the velocity of water (in m/s) is %3D W
SAE 30 oil at 60 F is pumped through a 6-ft diameter pipeline at a rate of 6650 gal/min. A model of this pipeline is to be designed using a 3-in diameter pipe and water at 60 F as the working fluid. To maintain Reynolds number similarity between these two systems, what fluid velocity will be required in the model? Answer: 0.0338 ft/s. Please show work.
QI:Capillary rise for distilled water is (h) inside the tube is varies with the diameter of the tube (d) density of the fluid (p), gravity (g),the angle of contact (8), and surfaces tension (6).Using Buckingham's theorem to find a functional relation for (h) with other parameters.
1. Consider heat transfer from a circular cylinder whose axis is normal to a forced flow and which is rotating at an angular velocity, w. If the surface of the cylinder is maintained at a uniform temperature, find the dimensionless parameters on which the Nusselt number depends on.
The pressure rise, Ap across a centrifugal pump from a given manufacture can be expected to depend on the angular velocity of the impeller w, the Diameter D, of the impeller, the volume flow-rate Q, and the density of the fluid, p. By using the method of repeating variables show that Др ρω- D wD³ A model pump having an impeller diameter of 0.200 m is tested in the laboratory using water. The pressure rise when tested at an angular velocity of 407 rad/sec is shown on the graph. What would be the pressure rise for a geometrically similar pump with an impeller diameter of 0.30 m used to pump water operating at an angular velocity of 807 rad/sec and at a flow rate of 0.070 m³/s? Sol: 40 30 (kPa) Apm 10 0 € 0.02 Q Model data (₁ = 40 rad/s Dm = 20 cm 0.04 0.06 Qm (cubic meters per sec) 0.08
An underwater device which is 2m long is to be moved at 4 m/sec. If a geometrically similar model 40 cm long is tested in a variable pressure wind tunnel at a speed of 60 m/sec with the following information, Poir at Standard atmospheric pressure = 1.18kg/m³ Pwater = 998kg/m3 Hair = 1.80 x 10-5 Pa-s at local atmospheric pressure and Hwater = 1 × 10-3 Pa-s then the pressure of the air in the model used times local atmospheric pressure is
4 Discharge, Q through a venturimeter depends on the following variable Inlet pipe diameter - D Throat diameter - d Pressure drop across the venturimeter - Ap Fluid density - P Dynamic viscosity - µ Using MLT set of dimensions evaluate the dimensionless parameters correlating this phenomenon 5 The droplet size, D produced by a liquid spray nozzle depends on the following variable Nozzle diameter - d Jet velocity - U Fluid density - p Dynamic viscosity – u Surface tension - o Using MLT set of dimensions evaluate the dimensionless parameters correlating this phenomenon
3. In the study of aerodynamic drag on a stationary body, an appropriate non-dimensional grouping has been found to be: QAU3 where, P is the power lost, p is the density of the fluid, A is a typical area, and U is the velocity of the fluid. In laboratory tests with a 1:10 scale model (ratio of the length) at 25°C, the power lost was measured as 5 w when the air velocity was 0.5 m/s. Calculate the power lost in the prototype (kW) at 25°C when the air velocity is 1 m/s.
An automotive V6 engine consists of six identical cylinders for the engine to perform its intended functions. All the six cylinders must be operationally successful and the mileage to failure of a cylinder can be modeled with the Weibull distribution with shape parameter 1.5 and characteristic life 3.5x106 miles.Calculate:(a)The reliability, R (t) of the engine. (b) The failure rate, h (t) of the engine. (c) With your expertise as a quality reliability engineer, how would you achieve a product life cycle in typical manufacturing industry?
One model of the glomerular membrane is a microporous membrane in which right cylindrical porespenetrate all the way through the membrane. Assume that the pores have a length of 50 nm and aradius of 3.5 nm. The viscosity of plasma is 0.002 Pa s. The average hydrostatic pressure in theglomerulus is 60 mm Hg, hydrostatic pressure in Bowman’s space is 20 mm Hg and the averageoncotic pressure of glomerular capillary blood is 28 mm Hg.A. Calculate the flow through a single pore assuming laminar flow (use the Poiseuille flowequation).B. How many pores would there have to be to produce a normal GFR?C. If the total aggregate area of the kidneys for filtration is 1.5 m2, what is the density of thepores (number of pores per unit area)D. What fraction of the area is present as pores?
Dynamics of Rigid Bodies Problem: 1.) A diver jumps from a height of 3.0 metres above the height of the water and touches the surface 1.0 s later. What was his velocity when he hit the water? 2.) A motorcyclist, travelling at a speed of 30 m/s, sees an obstacle 100 metres in front of him and puts on the brakes. He hits it 5.0 seconds later. If the motorcycle slows down uniformly, how fast was it going at the instant of the collision?