Please be aware of any potential hazards prior to operating any experiments. In the event of exposure to hot water, run cool water over the affected area, contact lab personal, and use the emergency protocols at the exits to contact Health and Safety if additional medical attention is required.
water
H2O
n/a
n/a
Wear a lab coat and safety glasses at all times
Heat exchanger equipment can be hot (~70 C)
Never run pumps dry
Laptop
Two pumps
Thermocouples and flow meters
40 gal water heater
Plate heat exchanger
Measure the steady state temperatures of all streams for various flow combinations. You should randomize the order in which you set the hold and cold flow rates.
Use the definitions in Yang et al to determine the coefficients C₁ and C₂ in the expression
3. Note that ONLY determining C₁ and C₂ values like Yang et al. is NOT a satisfactory analysis for your report.
4. Consider the efficiency and/or effectiveness of the heat exchanger (how are they different?).
The code to determine C1 and C2 is not trivial; you should start work on your code immediately. A general approach using MATLAB's NLINFIT function (one of the several Regression Tools) is provided as an attachment at the bottom of this page.
The paper by Pradhan et al is another good one to help with interpretation of various geometric parameters. It also provides a table of C1, C2 values from other sources which match the form given above.
You'll need a fair amount of data to perform a good regression analysis.
You should verify that (energy lost from hot) = (energy gained by cold) using a graph like Fig. 3 in Yang et al.
Remember that you can always reheat hot water but you can't cool down the cold water.
You should not assume that the properties of water are independent of temperature. You can find all needed properties of water at the NIST Chemistry WebBook. After you click "Press to Continue," uncheck the box after #3 to get tables of data which can then be fitted to equations or otherwise used as needed.
Yang, J.; Jacobi, A.; Liu, W. App. Th. Eng. 2017, 113, 1547-1557
Pradhan, R.; Ravikumar, D.; Pradhan, D. IOSR J. Mech. Civil Eng. 2013, 4, 1-8.
Shilling, R. et al. In: Perry's Chemical Engineers' Handbook, Green, D., Perry, R. Eds., 8th Ed.; McGraw-Hill: New York, 2008; Ch. 11
Cao, E. Heat transfer in process engineering, McGraw-Hill: New York, 2010; Ch. 9.
McCabe, W.; Smith, J.; Harriott, P. Unit Operations of Chemical Engineering, 7th Ed., McGraw-Hill: Boston, 2004; Ch. 15.
APV Corporation. Heat Transfer Handbook. SPX: Getzville, 2008