Someone claims that the average velocity in a circular pipe in fully developed laminar flow can be determined by simply measuring the velocity at R/2 (midway between the wall surface and the centerline). Do you agree? Explain.

A thread of mercury of length 15cm is used to trap some air in a capillary tube with a uniform cross sectional area and closed at one end. With the tube vertically and the opened end uppermost, the length of the trapped air column is 20cm. Calculate the length of the air column when the tube is held I. Horizontally II. Vertically with the opened end underneath.(take P = 76cmHg )

A sphygmomanometer is a device used to measure blood pressure, typically consisting of an inflatable cuff and a manometer used to measure air pressure in the cuff. In a mercury sphygmomanometer, blood pressure is related to the difference in heights between two columns of mercury. The mercury sphygmomanometer shown in the figure below contains air at the cuff pressure P. P Po h A U-shaped tube is open at the right end, and this end is labeled P.. The left end is connected to a spherical bulb labeled P. The tube is filled with mercury, and the height of the mercury in the right arm is higher than in the left arm. The difference between the two heights is labeled h. The difference in mercury heights between the left tube and the right tube is h = 114 mmHg = 0.114 m, a normal systolic reading. What is the gauge systolic blood pressure P. gauge in pascals? The density of mercury is p 13.6 x 103 kg/m3 and the ambient pressure is Po = 1.01 x 105 Pa. HINT Ра

AST Water is flowing in the pipe shown in the figure below, with the 8.20-cm diameter at point 1 tapering to 3.85 cm at point 2, located y 12.5 cm below point 1. The water pressure at point 1 is 3.20 x 10 Pa and decreases by 50% at point 2. Assume steady, ideal flow. What is the speed of the water at the following points? (a) point 1 x Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation Carry out all intermediate results to at least four-digit accuracy to minimize roundoff error. m/s (b) point 2 x Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four-digit accuracy to minimize roundoff error. m/s

The figure illustrates flow through a pipe with diameters of 1 mm and 2 mm and with different elevations. px is the pressure in the pipe, and vx is the speed of a non-viscous incompressible fluid at locations x = Q,R,S,T, or U. T R D=1mm D= 2 mm Select the correct answers. Less than V PQ is PU. Less than V VT is ... 2vQ. Greater than Pu is ... PT. Submit Answer Incorrect. Tries 11/12 Previous Tries Post Discussion S Send Feedback

The plug has a diameter of 30 mm and fits within a rigid sleeve having an inner diameter of 32 mm. Both the plug and the sleeve are 50 mm long. The plug is made from a material for which E= 1 MPa, v=0.7. (Figure 1) Figure Part A Determine the axial pressure p that must be applied to the top of the plug to cause it to contact the sides of the sleeve. Express your answer to three significant figures and include appropriate units. HA P= Submit Part B Value 8 = Request Answer Also, how far must the plug be compressed downward in order to do this? Express your answer to three significant figures and include appropriate units. μÅ 3 Value Submit Provide Feedback Units Request Answer IWIC ? Units www. ?

As blood is pumped from the heart, it moves through the ascending aorta and then down the descending thoracic aorta. The ascending aorta has an average cross-sectional area of approximately 7.07cm2, while the descending aorta has an average cross-sectional area of 4.52cm2. The heart pumps out blood at an average flow rate of 0.0800 L/s   . Determine the average speed of blood through the ascending aorta:___cm/s   Determine the average speed of blood through the descending aorta: ___cm/s

Suppose you measure a standing person’s blood pressure by placing the cuff on his leg 0.525 m below the heart. For this problem, assume that there is no loss of pressure due to resistance in the circulatory system (a reasonable assumption, since major arteries are large). The density of blood is 1.05×103 kg/m3 a. Calculate the systolic pressure you would observe, in units of mm Hgmm Hg, if the pressure at the heart was 120 over 80 mm Hg. Note that the top (and greater) number is the systolic pressure. b. Calculate the diastolic pressure you would observe, in units of mm Hgmm Hg, if the pressure at the heart was 120 over 80 mm Hg. Note that the bottom (smaller) number is the diastolic pressure.

Question 1 a) Consider the forces acting on an infinitesimal fluid element located at radius r inside a star, where the star is in hydrostatic equilibrium. Show that the buoyancy force acting on the fluid element may be written as Pe dv dt = -(Pe - p)g where Pe is the density inside the fluid element, p is the density of the gas in the surrounding gas at radius r, v is the velocity of the fluid element and g is local acceleration due to gravity. For full marks you should explain each step of your derivation. b) With the aid of a diagram, explain the condition required for convection to occur by considering the small displacement of a fluid element from its original equilibrium location within a star.

When a person inhales, air moves down the bronchus (windpipe) at 13.8 cm/s. The average flow speed of the air doubles through a constriction in the bronchus. Assuming incompressible flow, determine the pressure drop in the constriction. Neglect the change of pressure due to change in height ?y in the wind pipe. If the pressure goes down then the pressure drop is negative. Use 1.20 kg/m33 for the density of air.