1eBookHintConsider the following steady, two-dimensional velocity field:(u,v) = (0.210+2.12)+(-3.-3.1002.1yCalculate the location of the stagnation point. (Round the final answers to three decimal places. Include a minus sign if necessary.)The location of the stagnation points are x =|and y

Step 1:A stagnation point in a flow field is a point where the local velocity of the fluid is zero.…

Answered: 1 eBook Hint Consider the following…

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter1: Introduction To Statics

Section: Chapter Questions

Problem 1.10P: A differential equation is d2ydt2=Ay2+Byt where y represents a distance and t is time. Determine the...

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5.13 The torque due to the frictional resistance of the oil film between a rotating shaft and its bearing is found to be dependent on the force F normal to the shaft, the speed of rotation N of the shaft, the dynamic viscosity of the oil, and the shaft diameter D. Establish a correlation among these variables by using dimensional analysis.
Evaluate the Nusselt number for flow over a sphere for the following conditions: D=0.15m,k=0.2W/mK, hc=102W/m2K.
The drag on an airplane wing in flight is known to be a function of the density of air (), the viscosity of air(), the free-stream velocity (U), a characteristic dimension of the wing (s), and the shear stress on the surface of the wing (s). Show that the dimensionless drag, sU2, can be expressed as a function of the Reynolds number, Us.
The position coordinate x of a particle is determined by its velocity v and the elapsed time t as follows: (a) x=At2Bvt; and (b) x=AvteBt. Determine the dimensions of constants A and B in each case, assuming the expressions to be dimensionally correct.
The velocity vector of the boat has two components: v1 is the velocity of the water, and v2 is the velocity of the boat relative to the water. If v1=3mi/h and v2=5mi/h, determine the velocity vector of the boat.
A differential equation encountered in the vibration of beams is d4ydx4=2D where x = distance measured along the beam; [x]=[L] y = displacement of the beam; [y]=[L] = circular frequency of vibration; []=[T1] = mass of the beam per unit length; []=[ML1] D = bending rigidity of beam; [D]=[FL2] Show that the equation is dimensionally homogeneous. Note that [F]=[MLT2] see Eq. (1.21:).
5.19 Suppose that the graph below shows measured values of for air in forced convection over a cylinder of diameter D. plotted on a logarithmic graph of as a function of ReD Pr. Write an appropriate dimensionless correlation for the average Nusselt number for these data and state any limitations to your equation.
5.6 A fluid flows at 5 over a wide, flat plate 15 cm long. For each from the following list, calculate the Reynolds number at the downstream end of the plate. Indicate whether the flow at that point is laminar, transition, or turbulent. Assume all fluids are at 40°C. (a) air, (b) , (c) water, (d) engine oil.
Plot the earths gravitational acceleration g(m/s2) against the height h (km) above the surface of the earth.
7.1 To measure the mass flow rate of a fluid in a laminar flow through a circular pipe, a hot-wire-type velocity meter is placed in the center of the pipe. Assuming that the measuring station is far from the entrance of the pipe, the velocity distribution is parabolic: where is the centerline velocity (r = 0), r is the radial distance from the pipe centerline, and D is the pipe diameter. Derive an expression for the average fluid velocity at the cross section in terms of and D. (b) Obtain an expression for the mass flow rate. (c) If the fluid is mercury at , D = 10 cm, and the measured value of is 0.2 cm/s, calculate the mass flow rate from the measurement.
Find the surface area of the 90 duct elbow.
Air at 20C flows at 1 m/s between two parallel flat plates spaced 5 cm apart. Estimate the distance from the entrance to the point at which the hydrodynamic boundary layers meet.

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