1. The drag force exerted by a flowing fluid on a solid body depends upon the length of the body, L, velocity of flow V, density of fluid p, and viscosity u. Find an expression for drag force using Buckingham's theorem.

1. The drag force exerted by a flowing fluid on a solid body depends upon the length of the body, L, velocity of flow V, density of fluid p, and viscosity u. Find an expression for drag force using Buckingham's theorem.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Similar questions

A flat-bottomed raft is traveling across a shallow lake at 6 ms-¹. The lake is 10 cm deep. If the raft has a surface area of 3 m² and the lake is full of water with viscosity of 0.001 Pa s, determine the force required to maintain the raft's speed. [0.18 N]
What is the behavior of flow if water at 20 deg C is flowing through a pipe with a radius of 2.067 in at 20 gal/min. Viscosity of water at 20 deg C =1.005 cP Density of water at 20 deg C = 998.23 kg/m3
A steel ball with the density of 6324 kg/m and the radius of 0,48 cm was dropped into the oil whose viscosity was to be measured as is seen in the figure. When the ball attains a constant velocity, the distance that the ball travelled was measured as 97 cm within the time interval of 4 sec. Before the experiment, the mass of the 100 ml-oil was measured as 2,8 gr. According to the data given above, find; a) the density of the oil (in kg/m). (Please do not use any decimal digit.) Yanıt:
When a chalk is broken into dust-like particles, the particles take a long time to settle down to the ground when compared to the original chalk although the density of the chalk and the viscosity of air remain the same. The reasons for this are: (i) (ii) (i) (ii) The Reynolds number is very low due to reduced length scale of the dust. The dust particle is much lighter than the chalk. The viscous force is a surface force proportional to the length square while the gravitational force is a body force proportional to the length cube. At very small length scale, length square is much larger than length cube. (iii) (A) (B) The largest animal is found in sea as it requires no energy to support its weight by using hydrostatic principle. However bird has to support its own weight by using Bernoulli principle to create pressure difference while in flight. Bird cannot be very large and there are also fewer species of large bird than small bird. The reasons are: There is less food in the air…
Determine the kinematic viscosity (Stokes) of oil having the relative density as 0.91. The shear stress at a point in oil is 1.51 N/m² and the velocity gradient at that point is 0.31 per second. Solution: (i) Viscosity (in Ns/m²) = (ii) Dynamic Viscosity (in poise) = (iii) Mass density of oil (in kg/m³) = iv) Kinematic viscosity (in stokes) =
fluid mechanics explain, with examples, the effects of temperature and shear forces on newtonian and non-newtonian fluids.
In rotating a thin circular disc submerged in a fluid, a torque has to be applied to the disc to overcome the frictional resistance of the fluid. Using dimensional analysis, show that where T is the applied torque and D is the diameter of a disc rotating at a speed N in fluid of viscosity u and density p.
1-15. Analyze the flow between two plates of Fig. 1-15 by assuming the fluid is a de Waele power-law fluid as in Eq. (1-31a). Compute (a) the velocity profile u(y) with the power n as a parameter and (b) the velocity at the midpoint h/2 for n = 0.5, 1.0, and 2.0. Answer: (b) u = V/2 for all cases 1-16. Reneat that
Please answer the following question
need help solving answer is .059 but i keep getting something different
For the flow of a viscous fluid, with the velocity V = f(x)g(y)h(z)i (where f, g, h are arbitrary functions), the following conditions are given: . The flow is adiabatic. • The quantities v = 2 and 3 = $ are constants. • The velocity circulation is conserved for the flow, irrespective of the values of vand 3. What is the general solution for the functions f, g, h?
Fluid Mechanics Expert Please