Top Banner
HW # 5 /Tutorial # 5 WRF Chapter 19; WWWR Chapter 20 ID Chapters 7-9 Tutorial # 5 WRF#19.3; WRF#19.8; WWWR #20.13,; WRF#19.23, WWWR#20.42. To be discussed during the week 15 Feb. 19 Feb., 2021. By either volunteer or class list. Homework # 5 (Self practice). WRF#19.4; WRF#19.24; WRF#19.25 ID# 7.24, 7.35. Correction: #20.42: Table: Unit for C p should be corrected from J/kg-K to kJ/kg-K.
44

HW # 5 /Tutorial # 5 WRF Chapter 19; WWWR Chapter 20 ID ... · , flows through a 2.5 cm diameter copper tube that is 0.61m long, with a mean velocity of 0.05 m/s. The oil enters at

Sep 27, 2020

Download

Documents

dariahiddleston
Welcome message from author
This document is posted to help you gain knowledge. Please leave a comment to let me know what you think about it! Share it to your friends and learn new things together.
Transcript
Page 1: HW # 5 /Tutorial # 5 WRF Chapter 19; WWWR Chapter 20 ID ... · , flows through a 2.5 cm diameter copper tube that is 0.61m long, with a mean velocity of 0.05 m/s. The oil enters at

HW # 5 /Tutorial # 5

WRF Chapter 19; WWWR Chapter 20

ID Chapters 7-9

• Tutorial # 5

• WRF#19.3; WRF#19.8; WWWR #20.13,; WRF#19.23, WWWR#20.42.

• To be discussed during the week 15 Feb. – 19 Feb., 2021.

• By either volunteer or class list.

• Homework # 5 (Self practice).

• WRF#19.4; WRF#19.24; WRF#19.25

• ID# 7.24, 7.35.

• Correction: #20.42: Table: Unit for Cp should be corrected from J/kg-K to kJ/kg-K.

Page 2: HW # 5 /Tutorial # 5 WRF Chapter 19; WWWR Chapter 20 ID ... · , flows through a 2.5 cm diameter copper tube that is 0.61m long, with a mean velocity of 0.05 m/s. The oil enters at

Convective Heat Transfer

Correlations

Page 3: HW # 5 /Tutorial # 5 WRF Chapter 19; WWWR Chapter 20 ID ... · , flows through a 2.5 cm diameter copper tube that is 0.61m long, with a mean velocity of 0.05 m/s. The oil enters at

Natural Convection

Page 4: HW # 5 /Tutorial # 5 WRF Chapter 19; WWWR Chapter 20 ID ... · , flows through a 2.5 cm diameter copper tube that is 0.61m long, with a mean velocity of 0.05 m/s. The oil enters at
Page 5: HW # 5 /Tutorial # 5 WRF Chapter 19; WWWR Chapter 20 ID ... · , flows through a 2.5 cm diameter copper tube that is 0.61m long, with a mean velocity of 0.05 m/s. The oil enters at
Page 6: HW # 5 /Tutorial # 5 WRF Chapter 19; WWWR Chapter 20 ID ... · , flows through a 2.5 cm diameter copper tube that is 0.61m long, with a mean velocity of 0.05 m/s. The oil enters at
Page 7: HW # 5 /Tutorial # 5 WRF Chapter 19; WWWR Chapter 20 ID ... · , flows through a 2.5 cm diameter copper tube that is 0.61m long, with a mean velocity of 0.05 m/s. The oil enters at
Page 8: HW # 5 /Tutorial # 5 WRF Chapter 19; WWWR Chapter 20 ID ... · , flows through a 2.5 cm diameter copper tube that is 0.61m long, with a mean velocity of 0.05 m/s. The oil enters at
Page 9: HW # 5 /Tutorial # 5 WRF Chapter 19; WWWR Chapter 20 ID ... · , flows through a 2.5 cm diameter copper tube that is 0.61m long, with a mean velocity of 0.05 m/s. The oil enters at

Horizontal Plates

McAdam’s Correlations: Hot surface facing up or cold surface surfacing down

H

C

H

C

Page 10: HW # 5 /Tutorial # 5 WRF Chapter 19; WWWR Chapter 20 ID ... · , flows through a 2.5 cm diameter copper tube that is 0.61m long, with a mean velocity of 0.05 m/s. The oil enters at

Horizontal Cylinders

g

Page 11: HW # 5 /Tutorial # 5 WRF Chapter 19; WWWR Chapter 20 ID ... · , flows through a 2.5 cm diameter copper tube that is 0.61m long, with a mean velocity of 0.05 m/s. The oil enters at
Page 12: HW # 5 /Tutorial # 5 WRF Chapter 19; WWWR Chapter 20 ID ... · , flows through a 2.5 cm diameter copper tube that is 0.61m long, with a mean velocity of 0.05 m/s. The oil enters at
Page 13: HW # 5 /Tutorial # 5 WRF Chapter 19; WWWR Chapter 20 ID ... · , flows through a 2.5 cm diameter copper tube that is 0.61m long, with a mean velocity of 0.05 m/s. The oil enters at

In each of the correlations to follow the temperature of the hotter of

the two large surfaces is designed in T1, and the cooler surface is at

temperature T2.

Fluid properties are evaluated at the film temperature,

Tf = (T1 + T2) / 2.

Convective heat flux is expressed as

q

A= h(T1 - T2)

Page 14: HW # 5 /Tutorial # 5 WRF Chapter 19; WWWR Chapter 20 ID ... · , flows through a 2.5 cm diameter copper tube that is 0.61m long, with a mean velocity of 0.05 m/s. The oil enters at
Page 15: HW # 5 /Tutorial # 5 WRF Chapter 19; WWWR Chapter 20 ID ... · , flows through a 2.5 cm diameter copper tube that is 0.61m long, with a mean velocity of 0.05 m/s. The oil enters at
Page 16: HW # 5 /Tutorial # 5 WRF Chapter 19; WWWR Chapter 20 ID ... · , flows through a 2.5 cm diameter copper tube that is 0.61m long, with a mean velocity of 0.05 m/s. The oil enters at
Page 17: HW # 5 /Tutorial # 5 WRF Chapter 19; WWWR Chapter 20 ID ... · , flows through a 2.5 cm diameter copper tube that is 0.61m long, with a mean velocity of 0.05 m/s. The oil enters at

Example 1

Page 18: HW # 5 /Tutorial # 5 WRF Chapter 19; WWWR Chapter 20 ID ... · , flows through a 2.5 cm diameter copper tube that is 0.61m long, with a mean velocity of 0.05 m/s. The oil enters at
Page 19: HW # 5 /Tutorial # 5 WRF Chapter 19; WWWR Chapter 20 ID ... · , flows through a 2.5 cm diameter copper tube that is 0.61m long, with a mean velocity of 0.05 m/s. The oil enters at

H

H

Page 20: HW # 5 /Tutorial # 5 WRF Chapter 19; WWWR Chapter 20 ID ... · , flows through a 2.5 cm diameter copper tube that is 0.61m long, with a mean velocity of 0.05 m/s. The oil enters at

Initial Guess T = 385K, Resulting T=381.1K Second Iteration

Page 21: HW # 5 /Tutorial # 5 WRF Chapter 19; WWWR Chapter 20 ID ... · , flows through a 2.5 cm diameter copper tube that is 0.61m long, with a mean velocity of 0.05 m/s. The oil enters at
Page 22: HW # 5 /Tutorial # 5 WRF Chapter 19; WWWR Chapter 20 ID ... · , flows through a 2.5 cm diameter copper tube that is 0.61m long, with a mean velocity of 0.05 m/s. The oil enters at
Page 23: HW # 5 /Tutorial # 5 WRF Chapter 19; WWWR Chapter 20 ID ... · , flows through a 2.5 cm diameter copper tube that is 0.61m long, with a mean velocity of 0.05 m/s. The oil enters at

Forced Convection For Internal

Flow

Page 24: HW # 5 /Tutorial # 5 WRF Chapter 19; WWWR Chapter 20 ID ... · , flows through a 2.5 cm diameter copper tube that is 0.61m long, with a mean velocity of 0.05 m/s. The oil enters at
Page 25: HW # 5 /Tutorial # 5 WRF Chapter 19; WWWR Chapter 20 ID ... · , flows through a 2.5 cm diameter copper tube that is 0.61m long, with a mean velocity of 0.05 m/s. The oil enters at
Page 26: HW # 5 /Tutorial # 5 WRF Chapter 19; WWWR Chapter 20 ID ... · , flows through a 2.5 cm diameter copper tube that is 0.61m long, with a mean velocity of 0.05 m/s. The oil enters at
Page 27: HW # 5 /Tutorial # 5 WRF Chapter 19; WWWR Chapter 20 ID ... · , flows through a 2.5 cm diameter copper tube that is 0.61m long, with a mean velocity of 0.05 m/s. The oil enters at
Page 28: HW # 5 /Tutorial # 5 WRF Chapter 19; WWWR Chapter 20 ID ... · , flows through a 2.5 cm diameter copper tube that is 0.61m long, with a mean velocity of 0.05 m/s. The oil enters at

Turbulent Flow

Page 29: HW # 5 /Tutorial # 5 WRF Chapter 19; WWWR Chapter 20 ID ... · , flows through a 2.5 cm diameter copper tube that is 0.61m long, with a mean velocity of 0.05 m/s. The oil enters at
Page 30: HW # 5 /Tutorial # 5 WRF Chapter 19; WWWR Chapter 20 ID ... · , flows through a 2.5 cm diameter copper tube that is 0.61m long, with a mean velocity of 0.05 m/s. The oil enters at

Example 2

Hydraulic fluid (MIL-M-5606), in fully developed flow

, flows through a 2.5 cm diameter copper tube that is 0.61m long,

with a mean velocity of 0.05 m/s. The oil enters at 295K. Steam

condenses on the outside tube surface with an effective heat transfer

coefficient of 11400 W/m2-K. Find the rate of heat transfer to

the oil.

Ro

RiRc

Rc << Ro, Ri295K

Page 31: HW # 5 /Tutorial # 5 WRF Chapter 19; WWWR Chapter 20 ID ... · , flows through a 2.5 cm diameter copper tube that is 0.61m long, with a mean velocity of 0.05 m/s. The oil enters at

Example 2

Ro

Ri

=(295+305)/2

Rc

Rc << Ro, Ri295K

305K?

Page 32: HW # 5 /Tutorial # 5 WRF Chapter 19; WWWR Chapter 20 ID ... · , flows through a 2.5 cm diameter copper tube that is 0.61m long, with a mean velocity of 0.05 m/s. The oil enters at

=373-(373-300)*[98.1/(98.1+11400)]

=372.3K

Page 33: HW # 5 /Tutorial # 5 WRF Chapter 19; WWWR Chapter 20 ID ... · , flows through a 2.5 cm diameter copper tube that is 0.61m long, with a mean velocity of 0.05 m/s. The oil enters at
Page 34: HW # 5 /Tutorial # 5 WRF Chapter 19; WWWR Chapter 20 ID ... · , flows through a 2.5 cm diameter copper tube that is 0.61m long, with a mean velocity of 0.05 m/s. The oil enters at

Example 3

Page 35: HW # 5 /Tutorial # 5 WRF Chapter 19; WWWR Chapter 20 ID ... · , flows through a 2.5 cm diameter copper tube that is 0.61m long, with a mean velocity of 0.05 m/s. The oil enters at
Page 36: HW # 5 /Tutorial # 5 WRF Chapter 19; WWWR Chapter 20 ID ... · , flows through a 2.5 cm diameter copper tube that is 0.61m long, with a mean velocity of 0.05 m/s. The oil enters at
Page 37: HW # 5 /Tutorial # 5 WRF Chapter 19; WWWR Chapter 20 ID ... · , flows through a 2.5 cm diameter copper tube that is 0.61m long, with a mean velocity of 0.05 m/s. The oil enters at

Forced Convection For External

FlowFlow Parallel To Plane Surface

Page 38: HW # 5 /Tutorial # 5 WRF Chapter 19; WWWR Chapter 20 ID ... · , flows through a 2.5 cm diameter copper tube that is 0.61m long, with a mean velocity of 0.05 m/s. The oil enters at

Cylinders In Crossflow

Page 39: HW # 5 /Tutorial # 5 WRF Chapter 19; WWWR Chapter 20 ID ... · , flows through a 2.5 cm diameter copper tube that is 0.61m long, with a mean velocity of 0.05 m/s. The oil enters at
Page 40: HW # 5 /Tutorial # 5 WRF Chapter 19; WWWR Chapter 20 ID ... · , flows through a 2.5 cm diameter copper tube that is 0.61m long, with a mean velocity of 0.05 m/s. The oil enters at
Page 41: HW # 5 /Tutorial # 5 WRF Chapter 19; WWWR Chapter 20 ID ... · , flows through a 2.5 cm diameter copper tube that is 0.61m long, with a mean velocity of 0.05 m/s. The oil enters at
Page 42: HW # 5 /Tutorial # 5 WRF Chapter 19; WWWR Chapter 20 ID ... · , flows through a 2.5 cm diameter copper tube that is 0.61m long, with a mean velocity of 0.05 m/s. The oil enters at
Page 43: HW # 5 /Tutorial # 5 WRF Chapter 19; WWWR Chapter 20 ID ... · , flows through a 2.5 cm diameter copper tube that is 0.61m long, with a mean velocity of 0.05 m/s. The oil enters at

Tube Banks In Crossflow

SL : Center-to-center distance between tubes along the direction of flow

ST: Center-to-center distance between tubes normal to the direction of flow

Page 44: HW # 5 /Tutorial # 5 WRF Chapter 19; WWWR Chapter 20 ID ... · , flows through a 2.5 cm diameter copper tube that is 0.61m long, with a mean velocity of 0.05 m/s. The oil enters at

Adapted from ID Page 437