CHEMICAL ENGINEERING2 QUESTIION 1 QUESTION 2 How to enhance heat transfer out of the body. The body of Pat need to lose a lot of the heat to make it cool, therefore there are some ways in which we can enhance the movement of heat out of his body. Basically the heat need to move out of his body when there is an environment which is colder than his body. So the burned foot need to be dipped into a very cold water to enhance the heart transfer from his foot to water. Again the foot can be put near to a very cool moving air which will help to take away the heat through convection from Pat´s foot. Driving force behind heat transfer The driving force for the cooling of the Pat´s feet include the rate at which the blood will be flowing throughout his body. When the blood is flowing at higher rate a lot of heat will be lost to
CHEMICAL ENGINEERING3 the cold water to the cold moving air which will release the heat resulting to cooling effect which will then be moved to the rest of the body and the process continues. Another driving force is the change in temperature which we have seen in first part above. When the burnt feet is put is a very cold water there will be a higher heat transfer from the hot region to a colder region making the feet to cool faster. What causes temperature change from inlet to outlet? As discussed above, the change in temperature between inlet and outlet is due to the cold environment outside which makes the imbalance in temperature hence makes the temperature in the body higher than the temperature outside which will make the temperature to be transferred from the body to the outside environment ( cold water). TrialTBloodTairQ( Heat loss) 137250.009W 237200.013W 337150.016W 437300.005W 537350.001W Average37250.0088 Question 3 The∆Tfor each trials is obtained as below; ∆T=TBlood- Tair Trial 1: 37-25= 12 Trial 2:∆T= 37-20= 17 Trial 3:∆T= 37-15= 22 Trial 4:∆T= 37-30= 7 Trial5:∆T= 37-35= 2 The empirical relations between Q and∆Tcan be given by the following equation From the specific heat formula, we can get the below, Q= hA∆T, Where Q is the heat energy, h is the heat transfer coefficient
CHEMICAL ENGINEERING4 ∆Tis TBlood–Tair A is area of heat transfer Question 4 Calculation of heat transfer from the experiment From equationQ= hA∆T, The diameter was given as 10 mm , therefore A can be calculated as below; A=πD2 4 A=3.1420.12 4 A= 0.00785 cm2 Average Q = 0.0088 ∆T= 37 –25 = 12 Therefore we can get the value of h since we have all the other functions; h=Q ∆T, h=0.0088 0.00785×12 h=0.0088 0.0942 h= 0.093418 m J/ s m2C Which is equal to 9.3418×10−5J/s m2C Question 5 From the calculation the value of h was obtained to be 9.3418×10−5J/s m2C which is not exactly to the recorded value of 4.77×10−5J/s m2C. The variation between these two values are small and the discrepancy is due to some errors during the experiment such as taking of the
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CHEMICAL ENGINEERING5 accurate temperature reading and this can be seen from the recorded data where there was a variation of temperature. The∆Tvaries from 22 to about 2. Question 6 Part 1 Calculate the volume of the vessel; Volume, V = Cross sectional Area by the length Volume, V = 0.00785 cm2×5 cm Volume, V = 0.03925 cm3 Part 2 Volumetric flow rate From continuity equation Q1= Q2+ Q3 And since the time for the heat transfer is given as unit time, the value of Q hence becomes 0.0088cm3/s And since Q2 and A3 are equal, Q1 = 2Q2 2Q2 = 0.0088cm3/s Q2 =0.0088 2 Q2=Q3= 0.0044 cm3/s Part 3 Calculation of surface area from heat transfer From A1V1= Q1, A1V1= (A2V2)+ (A3V3) (A2)+ (A3)= A1
CHEMICAL ENGINEERING6 2A2 = 0.00785 cm2 A2= A3= 0.002925 cm2 Using this equationQ= hA∆T Q= 0.002925× 4.77×10−5×12 Q= 1.674×10−6 Q= 0.001674cm3/s Part 4 Q1= Q2+ Q3+Q4 And since the time for the heat transfer is given as unit time, the value of Q hence becomes 0.0088cm3/s And since Q2 and A3 are equal, Q1 = 3Q2 3Q2 = 0.0088cm3/s Q2 =0.0088 3 Q2=Q3= 0.002933 cm3/s Part 5 Q1= QN(1+1)+ Q(N1+2 ) And since Q2 and A3 are equal, (N-1)Q2 = Q1cm3/s Q2 =Q1 (N−1) Q2=Q3= Q4=Q5+……….QN =Q1 (N−1)
CHEMICAL ENGINEERING7 QUESTION 7 Even though TENCAS do not have blood flowing through it which can enhance heat transfer in the body but they can be redesigned to enable heat transfer when they are put on. Such design may involve making them to have several power which can allow free circulation of air into the skin where they are put on. Free circulation of air will highly enable free air circulation hence heat transfer from the body to the environment. The TENCAS can also be redesigned using some slots of like structures which help in circulation of cold air into the body hence increase heat transfer.