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Example # 6: A horizontal water pipe is reduced in size from 18 in in diameter at point A to 6 in in diameter at B. The flow in the pipe is 10 cu ft per sec, and the pressure at A is 20 lb per sq in. If it is assumed that there is no loss in energy due to friction, what is the pressure at B?Given:Required:Solution:Example # 7:A horizontal pipe line enlarges from a diameter of 6in at point A to a diameter of 12in at point B. The flow of water is 20 cu ft per sec, and the pressure at A is 10 lb per sq in. What is the pressure at B?Given:Required:Example # 8: An airplane is flying at sea level at 100mph. What is the difference between impact and static pressure?Given:Required:Solution:Example # 9:An airplane is flying at sea level at airspeed of 160knots. What is the difference between impact and static pressure?Given:Required:Solution:Example # 10: An airplane is flying at 10,000ft altitude. The difference between impact and static pressure is 0.25 lb per sq in. What is the airspeed in knots?Given:Required:Solution:Example # 11: A low speed airspeed indicator reads 200 mph when the airplane is flying at an altitude at which the altimeter reads 6000 ft. While the ambient temperature is found to be 30F. Calculate the true speed.Given:Solution:From:P=gRTOrGiven:Required:Solution:Since we no data of specific weightFor checking use Equation of State P=RTDifferent solution for specific weightExample # 13: Air at standard pressure and temperature is permitted to expand adiabatically to atm pressure, what are the density and the temperature?Given:Example # 14: Air at standard pressure and temperature is adiabatically compressed to 50 lb per sq in gage pressure. What is the temperature?Given:Example # 15: Find the speed of sound in air at standard sea level condition.Example # 16: Find the speed of sound in air at 6km altitude in standard atmosphere.Example # 17: Find the speed of sound when the barometric pressure is 8.88 in. Hg and the density is 0.000902 slug per cu ft.Example # 18: What is the speed of sound in air at standard temperature, 59 deg F.

Given: Required:Solution:But:Example # 20: In an undisturbed airstream, where the pressure is 14.7 lb per sq in and the temperature is 59F, The velocity is 520 ft per sec where the velocity is 660 ft per sec what is the local pressure?Venturi TubeThe Venturi Tube is a convergent-divergent tube with a short cylindrical throat or constricted section. This device determines the rate of flow of fluid through the tube be measuring the difference in pressure between the throat section and the entrance section.

By Incompressible Bernoulli EquationBy Incompressible Continuity EquationThenOrWhere:Example # 1: A Venturi tube narrows down from 4 inches in diameter to 2 inches in diameter. What is the rate of flow of water if the pressure at the throat is 2 lb per sq in less than at the larger section? 26Example # 2: A venture tube is 6 inches in diameter at the entrance, where the pressure is 10 lb per sq in. (gage). The throat is 4 inches diameter; there the pressure is 6 lb sq in. (gage). What is the flow of water?Given:Example # 3: A 12 inches by 6 inches Venturi meter is located in a horizontal water line. If the pressure gages read 30 lb per sq in. and 16 lb per sq in., what is the flow?

Example # 4: The diameter of section 1 of a Venturi tube is 0.3m. The diameter of section 2 is 0.15m. What is the flow rate of a substance (s.g.=0.85) if the pressure between sections 1 and 2 is 12.7cmHg?Kuta-Joukowski TheoremRelation between force acting on a body and vortex circulation.Flow about a circular cylinder.

By Incompressible Bernoulli EquationExample# 1: A uniform current of air with a speed of 100 ft per sec. flows around a circular cylinder at a distance from the cylinder the pressure is atmospheric. What is the pressure at a point on the surface of the cylinder located that a radial line through the point makes an angle of 15 with the direction of airflow?Example # 2: What is the pressure at 45 from the direction of air flow?Example # 3: At what point on the surface of the cylinder is the pressure at atmospheric?Lift due to CirculationVortex-A steady two dimensional, circular motion of a fluid about a central axis. This central axis cannot end inside of the fluid. It must either extend to infinity, extend to a surface of the fluid, or form a closed curve.A circular circulation of particles of fluid having the same energy content and center of rotation.For Total Lift:Example # 1: A cylinder 30 inches diameter rotates in an airstream of 70mph. It develops 40 lb per ft of length. What is the rotational speed?Example # 2: A cylinder 1.22m in diameter and 3.5m in length is rotating at 100rpm in an airstream of 18m per sec. Determine the total lift and the strength of the circulation of the cylinder at sslc.