MAASE, SPRING 2019 CHEN 3170 -APPLIED MATH METHODS HW#4 A common correlation for the drag aerodynamic drag of smooth spheres is: (NOTE - Write, test...
Please Use MATLAB and show me the code. I want to know how to code this for this problem.
MAASE, SPRING 2019CHEN 3170 -APPLIED MATH METHODSHW#4A common correlation for the drag aerodynamic drag of smooth spheres is:(NOTE - Write, test and validate the equations / model to calculate drag coefficients asan independent function program and then use the function in your longer program!)246Cd = Re 1+ VRe= +0.4rout finding problemWhere Re is the Reynolds numberRe = pudand u is the dynamic viscosity of the air. Because the properties of air (e.g., u and p) aretemperature-dependent, the terminal velocity will vary with temperature. To investigate thisdependence, we will assume that air is an ideal gas, givingp(T) = RTwhere R = 287.0 J/kg-K is the gas constant for air, P is the absolute air pressure in N/m? and T is thetemperature in Kelvin.Use the following correlation for viscosity:(NOTE - Write, test and validate this as an independent function program and thenuse the function in your longer program)p(T) = biT3+ byT2+baT+bs (viscosity )where the viscosity is given in kg/m-s with respect to temperature given in Kelvin andb1 =2.156954157 x 10-14, b2= -5.332634033 x 10- 1, b3 = 7.477905983 x 10-8,and b4 = 2.527878788 x 10-7.Assuming standard atmospheric pressure (P = 101300 N/m'), m = 0.5 kg, and d = 15 cm,compute and plot the terminal velocity of the sphere over the temperature range from -60Cto 60C.Once you have the plots you can re-compute a number of intermediate variables to help yourationalize that your solution makes physical sense. In particular, you should also generate a seriesof curves for pvs. T, uvs. T, Re vs. T, and Cavs. T. Are all of these plots reasonable?Do they help justify the behavior observed for v vs. T? Explain.
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