Question 1 - Show the details of your work! In an industrial laboratory experiment, student N suspended a 50 cm long hor
-
- Site Admin
- Posts: 899603
- Joined: Mon Aug 02, 2021 8:13 am
Question 1 - Show the details of your work! In an industrial laboratory experiment, student N suspended a 50 cm long hor
Question 1 - Show the details of your work! In an industrial laboratory experiment, student N suspended a 50 cm long horizontal thin heated plate in the path of a flowing castor oil at 38°C. The plate of width 1 meter is maintained at 93°C with the oil moving at 0.06 m/s. a) For a sensor to be located at 5 cm from the leading edge and within the thermal boundary layer, where above/below the plate should the sensor be located? b) Determine the heat transfer to the castor oil. c) Another student, M, decided to use the following correlation to determine the Nusselt number and subsequently the heat transfer coefficient needed to calculate the heat transfer to the castor oil, 0.3387 Re 1/2 pr¹/3 Nu = 2 ² 1+ + (0.0468) 27/31/A) Pr Obtain the absolute error for M's value of the heat transfer coefficient. (20 marks) d) To ensure that the sensor is really within the boundary layer, where better place should N have located her sensor? Justify your argument. (5 marks) Guided Solution (a) Location within the BL 5 cm from the leading edge - need to know thickness at this position, below and above the horizontal plate (i) Sketch the problem (type of geometry), label, list any information given - no Monet paintings required! (ii) (iii) List your assumptions, you may add more later, the relevant ones must be listed You will need the thermophysical properties of the fluid, at what temperature? Interpolate when differences between listed temperatures are significant. (iv) Note that for EFC, you must know if the flow is laminar or turbulent, where it starts to become turbulent... (b) The heat transfer to the castor oil. This means Newton's law of cooling! (i) You need h, to get h you will need Nu, 1st need to identify which of the 3 BC types apply here before selecting the appropriate equation. (ii) Need (c) Absolute error means the earlier h must have been an exact h because this time it is not, right? (d) To ensure that the sensor is really within the boundary layer, where better place should N have located her sensor? Justify your argument. Think! NMG/APR2022 1