A concentric tube heat exchanger for cooling lubricating oil is comprised of a thin-walled inner tube of 25 mm diameter carrying
water and an outer tube of 45 mm diameter carrying the oil. The exchanger operates in counterflow with an overall heat transfer coefficient of 60W/m2K and the tabulated average properties given below. If the outlet temperature of the oil is 60oC, plot the temperature as a function of x and determine the total heat transfer, the outlet temperature of the water, and the required length.
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Answer:
Explanation:
Since there are six points, the minimum distance from all points would be the centroid of polygon formed by A,B,C,D,E,F
To find the coordinates of centroid of a polygon we use the following formula. Let A be area of the polygon.
where i=1 to N-1 and N=6
A area of the polygon can be found by the following formula where i=1 to N-1
A=0.5[(20×25 -25×15) +(25×32 -13×25)+(13×21 -4×32)+(4×8 -18×21)+(18×14 -25×8)
A=225.5 miles²
Now putting the value of area in Cx and Cy
putting the values of x's and y's you will get
For Cy
putting the values of x's and y's you will get
So coordinates for the fire station should be (15.36,22.55)