Equation of state and substitute for temperature

Assignment Help Mechanical Engineering
Reference no: EM13708194

An important concept in using CFD code to solve the Navier-Stokes equations is that the variables set that are solved for are the ones appearing in the time derivative terms. These are called conservative variables. For a one-dimensional calorically perfect gas, derive the following:

(a) An expression for pressure, P, in terms of density and energy (HINT: start with the equation of state and substitute for temperature)

(b) Using (a), an expression for pressure in terms of the three conservative variables, (density), (density u), (density e0) (give these three things each a symbol if you like or just make sure they are clearly grouped together in your answer)

Reference no: EM13708194

Questions Cloud

Align with two mounting holes in a steel plate : Two bosses in a plastic bezel must align with two mounting holes in a steel plate. The steel plate holes are 8 inches apart center to center. What should be the center to center distance of the core pins that make bosses of the plastic part?
What temperature must the specimen be heated : A 1.5-kg specimen of a 88wt% Pb-12wt% Sn alloy (Animated Figure 9.8) is heated to 220°C; at this temperature it is entirely an alpha-phase solid solution. The alloy is to be melted to the extent that 50% of the specimen is liquid, the remainder being..
Liquid petroleum gas to fuel spark-ignition engines : It is proposed to use Liquid Petroleum Gas (LPG) to fuel spark-ignition engines. A typical sample of the fuel on a volume basis consists of: 70% propane C3H8; 5% butane C4H10; and 25% propane C3H6. The higher heating values of the fuels are 50.38 MJ/..
Monochromatic x-radiation having a wavelength : The metal niobium has a BCC crystal structure. If the angle of diffraction for the (211) set of planes occurs at 2(theta) =75.99 (first order reflection) when monochromatic x-radiation having a wavelength of 0.1659 nm is used, compute the atomic radi..
Equation of state and substitute for temperature : An important concept in using CFD code to solve the Navier-Stokes equations is that the variables set that are solved for are the ones appearing in the time derivative terms. These are called conservative variables.
Best development process of a new product : With the help of taking one product in mind what are the steps you will apply in the best development process of a new product?
Determine the initial and final temperature of the air : A vertical piston-cylinder that initially has a volume of 0.2m^3 is filled with 0.2kg of air. The piston is weighed so that the pressure on the air is always maintained @ 2 bars. Heat transfer is allowed to take place until the volume is 75% of its i..
Find the required steam and cold water flow rates : Steam at 0.2 Mpa and 300 degrees Celsius is mixed with cold water at 20 degrees celsius and 0.2 MPa to produce 20 kg/s of saturated liquid water at 0.2 MPa. Find the required steam and cold water flow rates.
Convert the composition to atomic percent : A copper and nickel alloy has the following composition: 80wt% Cu and 20wt% Ni. Convert the composition to atomic percent.

Reviews

Write a Review

Mechanical Engineering Questions & Answers

  What is the probability that the first machine produces an

there are two machines available for cutting corks intended for use in wine bottles. the first produces corks with

  A centerfielder throws a baseball 250 ft from the back

a centerfielder throws a baseball 250 ft from the back wall to second base. it takes 2.84 seconds to reach the base.

  At the channel outlet the velocity distribution is given by

water enters a wide flat channel of height 2h with a uniform velocity of u 5 ms. at the channel outlet the velocity

  Determine a the largest value less than 45deg of the angle

the initial velocity v0 of a hockey puck is 105 mih. determine a the largest value less than 45deg of the angle a for

  1 kg of air is allowed to expand reversibly in a cylinder

1 kg of air is allowed to expand reversibly in a cylinder behind a piston in such a way that the temperature remains

  Determine the changes in the enthalpy and entropy of steam

Steam at 500oF and 50 psi is fed at the rate of 1 lbm/sec to an adiabatic compressor where its pressure is raised reversibly to 650 psia. Use data from the steam table to determine the changes in the enthalpy and entropy of the steam in the compressi..

  Steam flows steadily through an adiabatic turbine the inlet

steam flows steadily through an adiabatic turbine. the inlet conditions of the steam are 10 mpa 450 ordmc and 80 ms and

  Knowing that at the instant shown the rod has an angular

the motion of the uniform slender rod of length l0.5 m and mass m 3 kg is guided by pins at a and b that slide freely

  If the angle is made from astm a36 structural steel compute

a standard steel angle l2 x 2 x 14 serves as a tension member in a truss carrying a static load. if the angle is made

  What is the maximum height reached by the rocket b how long

a model rocket is launched straight upward with a speed of 50 ms. i accelerates with a constant upward acceleration of

  Draw a picture showing the dimensions of the pan heat

an aluminum pan whose thermal conductivity is 237 has a flat bottom whose diameter

  A specimen of aluminum having a rectangular cross section

a specimen of aluminum having a rectangular cross section 9.7 mm times 12.4 mm0.3819 in. times 0.4882 in. is pulled in

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd