# How to graph a dimensionless ratio as the parameter on an XY graph? [closed]

We conducted an experiment to determine the relationship between the heat transfer coefficient for forced convection over a cylindrical rod due to varying air flow velocities. The relationship that was found was plotted with the heat transfer coefficient on the Y axis and the air flow velocity on the X axis. The question then asks to graph the dimensionless ratio(which we calculated for all ten test which we ran) as the parameter. So I have the list of dimensionless values that correspond to each of the ten tests that we ran but I don't know how to apply this dimensionless number to the graph as a parameter.

1. What does this mean?
2. What is a Parameter on a graph?
3. How would I go about plotting something that is dimensionless, when both the x and y axis clearly have units?
• Can you define the parameters "d" & "S", and the relationship between the heat transfer coefficient and approach velocity?
– r13
Apr 22 at 19:15
• Do you know how to use a spreadsheet? Put the numbers for X an Y in a column , compute the ratio X/Y in the 3rd column then copy that formula down 10 cells. Then select the array and choose plot XY then after choose X/Y plot for the option on Secondary Y axis on the right. X could be your velocity or voltage on fan and T the temperature. Apr 22 at 19:29
• @TonyStewartSunnyskyguyEE75 I would not say I am proficient in using spread sheets but I am capable. But I am experienced using mat lab if that helps Apr 22 at 20:05
• @r13 the d and s variables were the diameter of the cylindrical rod that we were testing and the S is the separation distance between the heated cylindrical rod and an obstruction rod that was placed in front of the heated rod. The diameter for both rods were 0.5 inches and the separation distance between the two center points of the rods were given as S for each test. Therefore the dimensionless ratio of d/s was 0.5/S(with S changing each of the 10 tests). This created a dimensionless ratio for each of the ten tests that we performed. How does this become a parameter on the graph? Apr 22 at 20:10
• I see. Your graph shall be just like the chart NMech provided below. For each d/S, through the varying velocity (x_i), you can calculate the heat transfer coefficient (y_i), and plot the interception point, that represents the unitless parameter d/S. If the velocity ranges from 0 - 100, with 10 be the increment, you will need to make 10 repetitive calculations to draw the d/S curve for each test, and 100 such calculations for 10 tests. Excel is perfect to handle a huge amount of repeating calculations like this. Hope I didn't make mistake that mislead you.
– r13
Apr 22 at 21:56