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1. Generalized upwind differencing
(a) Derive the modified differential equation corresponding to the difference equation. Confirm that the method is consistent and compute the effective diffusivity.
(b) Derive the stability criteria.
2. Hopscotch method for linear three-dimensional convection-diffusion
Develop a hopscotch method for the linear convection-diffusion equation in three dimensions.
3. Fractional-step method
Write the finite-difference equations corresponding to the Crank-Nicolson discretization of the three equations.
the position of a particle which moves along a straight line is defined by the relation x t3 - 6t2 - 15t - 40 where x
An air conditioner maintains the temperature of a dwelling at 72 degrees Fahrenheit when it is 96 degrees Fahrenheit outside. If heat is transferred through the walls and ceiling at 35,000 BTU/hr. a) What is the minimum power required to run the Air..
an ideal gas contained in a piston-cylinder assembly is compressed isothermally in an internally reversile
Calculate the delta velocity required to change the inclination of a circular orbit at 32,000 km altitude from a 28.5 degree inclination to an inclination of 45 degrees. Compute the propellant used if the satellite weighs 1200 lbs after the manoeuvre..
suppose that the us military is considering a new lifetime regulation on their helicopter rotor blades. instead of
What are the possible outcomes of this scenario?
Find the end pressure with the given information.
a dynamic system with viscous damping has mass m4 kgr and spring stiffness k5 knm. its free vibration amplitude
one of the problems of wind tunnel testing at airspeeds near sonic speed is the large effect on the flow conditions of
Determine the heat transfer characteristics of a cylinder under cross flow conditions when the cylinder is isolated.
the diameter of the hollow core of a solid propellant grain remains axially uniform during burning. its length is 5 m
an engineer has proposed that a simple ideal rankine cycle that uses refrigerant-134a be used to produce work with heat
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