The friction force F on a smooth sphere falling in water depends on the sphere speed V, the sphere density ρ_s and diameter D_s, the density ρ and dynamic viscosity μ of the water, gravitational acceleration g. Choose the correct repeating variables. sphere diameter, dynamic viscosity, gravitational acceleration density, gravitational acceleration, dynamic viscosity

The friction force F on a smooth sphere falling in water depends on the sphere speed V, the sphere density ρ_s and diameter D_s, the density ρ and dynamic viscosity μ of the water, gravitational acceleration g. Choose the correct repeating variables. sphere diameter, dynamic viscosity, gravitational acceleration density, gravitational acceleration, dynamic viscosity

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)

8th Edition

ISBN:9781305387102

Author:Kreith, Frank; Manglik, Raj M.

Publisher:Kreith, Frank; Manglik, Raj M.

Chapter5: Analysis Of Convection Heat Transfer

Section: Chapter Questions

Problem 5.18P: The drag on an airplane wing in flight is known to be a function of the density of air (), the...

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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.
Q1: Apply appropriate solution method using math principles to prove that "the pressure at a point in a fluid has the same magnitude in all directions". Support your answer with sketch. Answer: Px Pz = Pn P are the mean pressures at the three surfaces in the x- and z-directions. Q2: Formulate the issue and identify key variables to prove that [AP = P2 - P, = pg Az = y, Az], where y, and p are the specific weight and density of the fluid, respectively. Az is the vertical distance. Support your answer with sketch. Q3: From fluid mechanics science perspective, define the center of gravity and the center of pressure. Q4: Identify the hydrostatic force acting on the top surface of a submerged rectangular plate by applying principles of engineering for the following cases: 1 tilted plate, (2 vertical plate, and 3 horizontal plate. Support your answer with sketch. Q5: By applying principles of fluid mechanics science, define the "rigid-body" and identify its features. Q6: Formulate the issue…
The volume in buoyancy formula is the volume of the entire object. Select one: O True O False Reynold's number identify the laminarity of the fluid. Select one: True False If the velocity in a given location is invariant with time the flow is said to be non-steady. Select one: O True O False The viscosity of a fluid is a measure of its resistance to defeormation. Select one: True O False
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Question 4: The power of a pump in a water pipe network, W, depends on average velocity, U, the water density, p, the pipe diameter, D, water pressure, P, volumetric flow rate, Q and dynamic viscosity, μ. Express these variables in non-dimensional form using Buckingham Pi Theorem
One mole of a gas obeys the Ideal Gas Law PV = 20T, where P is pressure, V is volume, and T is temperature. If the temperature T of the gas is increasing at the rate of 5 °C/s and if, when the temperature is 80 °C, the pressure P is 10N/m? and is decreasing at the rate of 2- find the m2 . s rate of change of the volume V with respect to time.
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Q2:- If the velocity of flow v, dynamic viscosity p, bulk modulus of elasticity K and diameter of pipe D, using dimensional analysis, determine the general form of relationship between these variables.
a=2, b=1 A bullet is to be tested in the laboratory to determine the drag force on it. Dependent parameter the drag force D (Newton) depends on the velocity of the bullet V(m/s), the length of the bullet L(m), sound velocity c(m/s), density of fluid ρ (kg/m3) and dynamic viscosity µ(kg/ms). Solve the problem by making the necessary assumptions and drawing the schematic figure I-Determine the nondimensional p parameters using repeating variables ii-a bullet with a speed of 9a,b m/s in air may be modelled in a water tunnel with a test section velocity of 2ab cm/s. Determine the length of the model, if the length of the bullet is 5a,b mm. The air and water temperature is 20 oC degree at 1 atm. iii- if the drag force on the model is measured to be 2,ab N, then determine the expected drag force on the bullet. Comment on dynamic similarity equivalence?
A cart weighing 0.5 kg is drawn up a smooth 45° incline by a motor, M, winding up a cable. The force in the cable can be expressed as 5t² N, where t is in seconds. When t = 0, the displacement s = 0 and the initial velocity is 3 m/s. Find the cart's velocity when t = 2 seconds. > Draw a very clear FBD of the cart that you can use to write the equations of motion > Write the equations governing the cart's motion along the incline. Use axes parallel and perpendicular to the incline. Find the velocity requested