Write a function to calculate the Reynolds number in fluid flow and determine whether the flow is laminar, urbulent, or in the transition between the two.
The Reynolds number is defined as:

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where r = density of the fluid; V = velocity; L = length scale of the problem (e. g. diameter of a pipe or chord width of an airfoil); m = dynamic viscosity

For purposes of this problem, the Reynolds number is used to classify flow (roughly) as follows:

Reynolds Number Type of Flow

Re < 1,000 Laminar

Re > 10,000 Turbulent

Otherwise Transition

The function specification is as follows:

Input arguments (all SCALARS) Output arguments

density, r (kg/m3) Reynolds number, Re (dimensionless) - SCALAR

velocity, V (m/s) Flow type, a string ("Laminar", "Turbulent", or

length, L (m) "Transition")

viscosity, m (kg/m-s) NOTE: the flow type should be a string ("Laminar")

not a char array (‘Laminar’)

Note: an alternative way to write the function is to pass the arguments as vectors, not scalars, and have the function return array outputs. This is acceptable, but it may not pass the provided checker.

B. In your script file, use the function that you defined in problem 1 to determine the Reynolds number and flow type for the following sets of parameters:

Test Case

Density, r

Length, L

Velocity, V

Viscosity, m

1

1.2

0.05

5

3.5x10-5

2

0.01

1

100

1.7x10-5

3

1.29

0.01

2

3x10-5

For each test case, print a message to the command window in the format:

For test case n, the Reynolds number is X, and the flow type is Z.

where X is the calculated value, and Z is "laminar", "turbulent", or "transition". For full credit, you must use a loop to iterate over the rows of the matrix, and store the results in a numerical array, Re, and a string array, flow_type.

Note: If you wrote the function as specified, with scalar inputs & outputs, you will need a loop in your main script to call the function on each test case. If you used the alternative approach of designing the function with array inputs & outputs, you will only have to call the function once.