What is (or define) Reynolds Number? state the purpose of using the number?
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- Using Buckinghams Pi theorem, obtain the dimensionless parameters: Reynolds number, Prandtl number, and Stanton number from the function:Under laminar conditions, the volume flow Q through asmall triangular-section pore of side length b and length Lis a function of viscosity μ , pressure drop per unit length∆p / L , and b . Using the pi theorem, rewrite this relation indimensionless form. How does the volume flow change ifthe pore size b is doubled?In some wind tunnels the test section is perforated to suckout fl uid and provide a thin viscous boundary layer. Thetest section wall in Fig. P3.33 contains 1200 holes of 5-mmdiameter each per square meter of wall area. The suctionvelocity through each hole is V s = 8 m/s, and the testsectionentrance velocity is V 1 = 35 m/s. Assuming incompressiblesteady fl ow of air at 20 8 C, compute ( a ) V 0 , ( b ) V 2 ,and ( c ) V f , in m/s.
- Apply the necessary conversion factors to prove the relationship between dimensionless turbine specific speed and customary U.S. turbine specific speed, NSt = 43.46NSt, US. Note that we assume water as the fluid and standard earth gravity.The flow rate of water in a garden hose is measured using the bucket-andstopwatch method. Filling a 5-L bucket takes 75 seconds. If the inner diameter of the hose is 10 mm and the density and viscosity of water are approximately 998 kg m-3 and 0.9 cP, respectively, (a) is the flow inside the hose laminar or turbulent? (b) If the flow rate is adjusted such that the flow is with Re = 2100, how long would it take to fill the same bucket?A certain liquid (SG = 13) flows through a 483-cm diameter pipe at a velocity of 7.5 m/s. Find the weight flow rate in N/s. Round off to the nearest whole number.
- solve 20-30 mins i'll give you multiple upvote( handwritten asap)How can I solve the problem below in viscous fluid flow?Henri Darcy, a French engineer, proposed that the pressuredrop ∆ p for fl ow at velocity V through a tube of length Lcould be correlated in the form ∆p ___________ = α LV2 ρ If Darcy’s formulation is consistent, what are the dimensionsof the coefficient α ?Q6: Using Raleigh’s method, Analyze an equation to determine the resistance, P of a sphere of diameter, D moving with a velocity, v in an incompressible and unlimited medium of specific mass, ρ and coefficient of viscosity μ
- In Prob. it would be difficult to solve for Ω because of itappears in all three of the dimensionless pump coefficients.Suppose that, in Prob. 5.61, Ω is unknown but D = 12 cmand Q = 25 m 3 /h. The fluid is gasoline at 20 ° C. Rescale thecoefficients, , to make a plot ofdimensionless power versus dimensionless rotation speed.Enter this plot to find the maximum rotation speed Ωforwhich the power will not exceed 300 W.For both Finite Element and Finite Difference methods, if you don't explicitly define a boundary condition, the default boundary is: A. Constant head B. No flow C. Equal to the head at the boundary node D. Specified gradientFor the flow of gas between two parallel plates of Fig. 1.7,reanalyze for the case of slip fl ow at both walls. Use thesimple slip condition, δu wall = l ( du/dy ) wall , where l isthe mean free path of the fl uid. Sketch the expected velocityprofile and find an expression for the shear stress ateach wall.