Answered: In the linearization of the kinematic…

In the linearization of the kinematic and dynamic free surface boundary conditions for linear wave theory, by scaling the equations, show that for both conditions, linearization implies, kH/2<< 1.

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.

Chapter3: Transient Heat Conduction

Section: Chapter Questions

Problem 3.1P: Consider a flat plate or a plane wall with a thickness L and a long cylinder of radius r0. Both of...

See similar textbooks

Related questions

Q: An industrial motor weighing 23.9 kN is provided with a steel eye bolt for use when it is lifted for…

Q: Estimate the thrust needed from the propeller to hold the boat stationary. cif.

A: Given data,the specific gravity of the sand/water mixture = 1.4 The diameter of the pipe d= 2ftThe…

Q: A specimen of aluminum having a rectangular cross section 10 mm × 12.7 mm (0.4 in.× 0.5 in. ) is…

A: A specimen of aluminum having a rectangular cross section A = 10 mm × 12.7 mm (0.4 in. × 0.5 in. )…

Q: ermine the moment in the beam as a function of x for 4ft<x<10ft B) Determine the shear in

A: The moment equilibrium at point A is-

Q: d tank is 20 meters off the ground and the tank has a gauge pressure of 5 bar. Ignoring frictional…

Q: A common piping component is a u-bend or return bend. Assume we have a u-bend redirecting a flow of…

A: The velocity of water is .The diameter of pipe is constant .The pressure of the fluid is .The length…

Q: 1. A flow in the x-y plane is given by the following velocity field: u-3 and v=6m/s for 0<t<20s;…

A: a)In the given problem, for the given particle released at t= 0 s,and u = 3m/s and v = 6 m/sDuring…

Q: Problem 3. If sufficient data are provided, complete the blank (non-gray) cells in the following…

A: This question belongs to Thermodynamics. According to our guidelines, we are supposed to answer 1st…

Q: The shaft shown below is made of AISI 1020 steel. Determine the most critical section, the principal…

A: Given d2=40mm=0.040m1st Considering the location of stress concentration 80mm from the…

Q: An ideal cogeneration steam plant is to generate power and 9400 kJ/s of process heat. Steam enters…

A: The process heat is .The steam enter the turbine at .The steam extracted is 0.25 at .The condenser…

Q: A long spring has a mass of 1 slug attached to it. The spring stretches 16/13 ft and comes to rest.…

Q: A refrigeration plant that operates on the cycle shown below serves as a water chiller. Data on…

Q: Calculate the moments of iner 136 136 75 + 75 9999 Dimensions in millimeters

Q: 1. Fill in the missing spaces and determine the direction of from in Pipe D. C Pipe Flow (ft³/sec))…

A: Fill in the missing spaces and determine the direction of from in Pipe D.

Q: F prisp 1/2 √2/2 use symmetry to Find reactions and draw moment diagram using. unit load w/ method…

A: Length of the supported beam is : find: Reaction and Moment diagram

Q: Problem 1: A thin rectangular plate has a width w and a height h. It is placed so that it is normal…

Q: 200 mm 30% NOR- 250 -Op 400 mm 300 mm 200 mm

A: The first step in locating the moment in 3-D coordinates is to translate the force into Cartesian…

Q: The beam is subjected to a moment of M = 55 kN⋅m. A) Determine the bending stress at point A B)…

Q: A water truck drives slowly around a construction site, spraying water to keep dust down. A pump…

Q: If the LHV of wood logs is 16 MJ/kg, how much energy is available for 2 kg of wood logs? If I burn…

Q: Q1: Determine the equivalent spring constant of the system shown in Fig. 1 k₁ k3 0000 0000 0000…

A: Determine the equivalent spring constant of the system shown in Fig. 1

Q: 1. A thermometer is taken from a room that is 20 °C to the outdoors where the temperature is 5 °C.…

Q: We said above that G(w) does not depend on the number of people or their mass, and that it increases…

Q: Suppose a spring with spring constant 7 N/m is horizontal and has one end attached to a wall and…

Q: For the following data, determine Young's modulus Stress (MPa) 1000 900 800 700 600 500 400 300 200…

A: For the following data,Determine Young's modulus.

Q: The body in the figure below is held by a frictionless pin and groove. Establish the reactions in A…

A: The body in the figure below is held by a frictionless pin and groove.Establish the reactions in A…

Q: Figure 2 shows a built-up cross-section of a horizontal beam which has a maximum shear force of 100…

Q: If a clamping force of 300 N is required at A, determine the amount of force F that must be applied…

A: The clamping force of 300 N is required at A.To Find:The amount of force F that must be applied to…

Q: What would be the futuristic applications of paper microfluidics?

A: 1. Medical diagnosis: Paper microfluidics can revolutionize health care by enabling fast and…

Q: Locate all the instant centers for the mechanism in Problem 2-2) @2 YA 0₂ 45° A 105⁰ 4 X Note:- • Do…

A: It is asked to draw the I-center of the given mechanism

Q: The coefficient of performance (COP) for a vapor compression cycle chiller is 8.7. If the chiller…

Q: . Data was collected from the tensile test demonstration for Aluminum 6061-T6. Below are the…

A: According to our guidelines, we are supposed to answer the first three sub parts. Please repost…

Q: Elastic Properties of Materials 4. A cylindrical bar of steel 10 mm (0.4 in.) in diameter is to be…

Q: 2. a. Find the expression for dh dt dh b. Compute if D₁ = 1in, D₂ = 3 in, dt V₁ = 3ft/s, V₂ = 2ft/s,…

Q: The aluminum rod AD is fitted with a jacket that is used to apply a hydrostatic pressure of 5000 psi…

Q: A combined gas-steam power cycle uses a simple gas turbine for the topping cycle and simple Rankine…

A: Given that:For gas turbine cycle:For Rankine cycle:Net power output of the system = 110 MWTo…

Q: 1.32 Determine the parameters for an equivalent system model of the system of Fig. 1-36 when x, the…

Q: Question No. 1: A 1.2 m boom is held by a ball-and-socket joint at C and by two cables BF and DAE;…

A: DAE passes through frictionless pulley at A

Q: A 35 K G block is connected to a support through a spring (k=1.4 * 10^6 N/m) and a damper (c=1.8 *…

Q: 3. An 8 ft diameter cylinder weights 500 lb and rests on the bottom of a tank that is 3 ft long.…

A: Given:To find:(a) Magnitude of the horizontal forces pushing on the tank. Net horizontal force.(b)…

Q: Gear ratio of the epicyclic gear system discussion

A: The three major parts of an epicyclic gear system, sometimes referred to as a planetary gear system,…

Q: A closed system has water at 4 MPa and 400°C, which undergoes an isothermal reversible compression…

A: For the solution refer below images.

Q: a) Supplied steam to the turbine in kg/hr b) Total heat supplied to the boiler in KJ/hr

A: To determine the turbine steam supplied in the turbine and total heat supplied in the boilerwith the…

Q: A person living in a 5m × 5m × 5m room turns on a 130 W fan before he leaves the warm room at 100…

Q: Problem 1 During the isothermal heat addition process of a Carnot cycle, 2000 kJ of heat is added to…

A: Heat added to the cycle is: ΔQ=2000kJThe temperature of the source is: T=500∘C=773K

Q: Help ASAP how can I determine the defletion at point a,b,c,d,e,f and g

A: It is asked to fidn the defelction from the beam shown below

Q: 1. Steel tape used in a tape measure has a thickness of 0.0065 in. If the allowable stress is 68…

A: We can use the calculation for the stress in a curved beam to estimate the smallest spool diameter…

Q: Para la figura que se muestra a continuación, determine el valor de la masa (m en slugs) del bloque…

Q: The cylinder shown in Fig. 16-15a rolls without slipping on the surface of a conveyor belt which is…

Q: 12.21 and 12.22 Draw the shear and bending-moment diagrams for the beam and loading shown, and…

A: Given ,A simply supported beam in which uniformly distributed load acts from A to C . and a bending…

Concept explainers

Pressure Vessels

The term pressure vessel refers to a closed container that contains gas or liquid at a different pressure than environment pressure. The pressure vessels have a wide scale of applications in our day-to-day lives and other industrial places. Some common examples of pressure vessels are gas cylinders, autoclaves, compressor vessels, etc.

Question

In the linearization of the kinematic and dynamic free surface boundary conditions for linear wave theory, by scaling the equations, show that for both conditions, linearization implies, kH/2<< 1.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1: Kinematic Free Surface Boundary Condition:

VIEW

Step 2: Dynamic Free Surface Boundary Condition:

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 19 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions

The wave patterns of various delta w and delta k values are not same , even though the group velocity Vg is 1 for each wave pattern( due to delta w and delta k being equal to each other ) . Why are not all the wave patterns same ?
A sinusoidal wave on a string is described by the wave function ?(?,?) = 0.02 sin(30? − 400?) (SI units). If the string’s linear mass density is ? = 0.005 kg/m, then the transmitted power is:
Are the wave patterns same for various values of delta w and delta k?if not why?
Optical properties of Enstatite - Becke line = - Wave plate = - Sign of elongation (Length fast vs. length slow) = - Extinction angle =
Using the four-source image pattern needed to construct theflow near a corner in Fig. fi nd the value of the sourcestrength m that will induce a wall velocity of 4.0 m/s at thepoint (x, y) = (a, 0) just below the source shown, if a = 50 cm.
A wire of length L₁ = 30 cm has one end fixed and the other end welded to another wire, whose linear density of mass is 4 times smaller. The second wire passes through a pulley and a mass of 10 kg is suspended by its other end. The distance L₂ between the weld point and the pulley is 80 cm. A stationary wave is produced in the composite wire, whose ends at the left wall and the pulley remain fixed. If the frequency is as low as possible and there is one node (node) at the solder point, what is the number of nodes (nodes) of this stationary wave, including the nodes (nodes) at the left wall and the pulley? a. 3b. 4c. 5d. 6e. 7f. 8g. 9h. 10a. 11j. 12k. 13l. 14m. 15
A wire of length L1=30cm has a fixed end and the other end is welded to another wire, whose linear mass density is 4 times smaller. The second wire passes over a pulley and a mass of 10kg is suspended from its other end.The distance L2 between the welding point and the pulley is 80 cm. A standing wave is produced in the composite wire, whose ends on the left wall and on the pulley remain fixed.If the frequency is as low as possible and there is a node at the weld spot, what is the number of nodes in this standing wave, including nodes on the left wall and on the pulley?a)3b)4c)5d)6e)7f)8g)9h)10i)11j)12k)13l)14m)15
Explain why there is an “extra” term in the Bernoulli equation in a rotating reference frame.
Does an automobile radio antenna vibrate in resonance dueto vortex shedding? Consider an antenna of length L anddiameter D . According to beam vibration theory [, the fi rst mode natural frequency of a solidcircular cantilever beam is ω n = 3.516[ EI /( ρ AL 4 )] 1/2 ,where E is the modulus of elasticity, I is the area momentof inertia, ρ is the beam material density, and A is the beamcross-section area. ( a ) Show that ω n is proportional to theantenna radius R . ( b ) If the antenna is steel, with L = 60 cmand D =4 mm, estimate the natural vibration frequency, inHz. ( c ) Compare with the shedding frequency if the carmoves at 65 mi/h.
A sinusoidal wave on a string is described by the wave function y(x,t)=0.02sin(30x-400t). If the string's linear mass dinsity is 0.005kg/m, then the transmitted power is :
A 2-ft outside diameter pipeline lying on a sand seabed moved during a hurricane event. Determinethe wave height for a 15-s period wave needed to just move the concrete-coated steel pipe located in180 ft of water. The current normal to the pipeline is assumed to be 0.8 kts. Use linear wave theory.Crude oil with a specifi c gravity of 0.86 is inside the pipeline. The thickness of the steel pipe is 0.25in and the thickness of the concrete coating is 1 in.
Determine the pseudo-velocity response spectrum for this excitation