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Lukewarm Bath Prevention

Lukewarm Bath Prevention. MeEn 340 Class Project Devin D. Furse. Objectives. Model heat loss of bath water in a standard bathroom Determine primary means of heat loss - convection or evaporation

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Lukewarm Bath Prevention

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  1. Lukewarm Bath Prevention MeEn 340 Class Project Devin D. Furse

  2. Objectives • Model heat loss of bath water in a standard bathroom • Determine primary means of heat loss - convection or evaporation • Determine effectiveness of reducing heat loss by covering the water with thin, non-insulating film (plastic wrap)

  3. Heat Transfer Problem and Solution T∞ • Qlost,water = mCp(Ti-Tf) • Eq. 9.30 (free convection for a horizontal plate) approximates the covered bath case • Compare Qlost in both covered and open cases • Treat mass transfer (evaporation) as heat transfer T∞ qevap qconv qconv COVERED BATH OPEN BATH

  4. Empirical Results • For first 10 min, dT/dt in open bath roughly twice that of closed bath • Open bath nears saturation, slopes converge (both are now mainly free convection) • Save about 50% of heat from escaping by covering the bath

  5. Conclusions • Covering the water is an effective way of maintaining hot baths, but not realistic for home use • Hot tubs running constantly (in hotels, for example) benefit from covering, both from eliminating evaporation and insulating against convection • Evaporation can be reduced by having smaller bathrooms as the air becomes saturated more quickly

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