Homework Help is Here – Start Your Trial Now!
Engineering
Mechanical Engineering
Consider a double-rectangular flow channel composed of an outer rectangular channel and an inner rectangular channel. The width and height (or gap) of the inner rectangular channel are 60 and 20 mm, respectively, whereas the width and height of the outer rectangular channel are 100 and 40 mm, respectively. Oil and water, respectively, flow through the inner and outer rectangular channels, and the oil and water flow direction is the same. The flow rates of the oil and water are 0.2 and 0.3 kg/s, respectively. The important information for the thermal analysis is given below. The wall thermal resistance is 0.01 (m²-K)/W. If the flow is turbulent, the Dittus-Boelter correlation should be used for estimating the heat transfer coefficient. If the flow is laminar, the Nusselt numbers for water and oil are given as 4.01 and 5.63, respectively. The oil and water enter at temperatures of 100 and 30 °C, respectively. Viscosity-3.25x10² N-s/m², Thermal Oil: Specific heat capacity=2131 J/(kg-K), conductivity=0.138 W/(m K), Prandtl number 546 Water: Specific heat capacity=4178 J/(kg-K), conductivity=0.625 W/(m-K), Prandtl number 4.85 Viscosity-725×106 N-s/m², Thermal 100 mm 60 mm Water I 30 °C 0.3 kg/s 40 mm 20 mm Oil 100 °C 0.2 kg/s 70 °C Water Inlet Outlet Cross-sectional View Side View In the current analysis, the following assumptions are made. 1. Negligible heat loss to the surroundings. 2. Negligible kinetic and potential changes. 3. Constant properties. 4. Fully developed conditions for the water and oil. 4-1) What is the hydraulic equivalent diameter for the inner rectangular channel? The answer should be given in the unit of mm. 4-2) What is the value of the exponent to Prandtl number, n, in the Dittus-Boelter correlation (Nup=0.023 Rep08 Pr") used for calculating the heat transfer from oil to wall? 4-3) How long must the tube be made if the outlet temperature of the oil is to be 70 °C? The answer should be given in the unit of m. 4-4) When the outlet temperature of the oil is set at 60 °C (other conditions are the same), what is the outlet temperature of the water? The answer should be given in the unit of °C.

Consider a double-rectangular flow channel composed of an outer rectangular channel and an inner rectangular channel. The width and height (or gap) of the inner rectangular channel are 60 and 20 mm, respectively, whereas the width and height of the outer rectangular channel are 100 and 40 mm, respectively. Oil and water, respectively, flow through the inner and outer rectangular channels, and the oil and water flow direction is the same. The flow rates of the oil and water are 0.2 and 0.3 kg/s, respectively. The important information for the thermal analysis is given below. The wall thermal resistance is 0.01 (m²-K)/W. If the flow is turbulent, the Dittus-Boelter correlation should be used for estimating the heat transfer coefficient. If the flow is laminar, the Nusselt numbers for water and oil are given as 4.01 and 5.63, respectively. The oil and water enter at temperatures of 100 and 30 °C, respectively. Viscosity-3.25x10² N-s/m², Thermal Oil: Specific heat capacity=2131 J/(kg-K), conductivity=0.138 W/(m K), Prandtl number 546 Water: Specific heat capacity=4178 J/(kg-K), conductivity=0.625 W/(m-K), Prandtl number 4.85 Viscosity-725×106 N-s/m², Thermal 100 mm 60 mm Water I 30 °C 0.3 kg/s 40 mm 20 mm Oil 100 °C 0.2 kg/s 70 °C Water Inlet Outlet Cross-sectional View Side View In the current analysis, the following assumptions are made. 1. Negligible heat loss to the surroundings. 2. Negligible kinetic and potential changes. 3. Constant properties. 4. Fully developed conditions for the water and oil. 4-1) What is the hydraulic equivalent diameter for the inner rectangular channel? The answer should be given in the unit of mm. 4-2) What is the value of the exponent to Prandtl number, n, in the Dittus-Boelter correlation (Nup=0.023 Rep08 Pr") used for calculating the heat transfer from oil to wall? 4-3) How long must the tube be made if the outlet temperature of the oil is to be 70 °C? The answer should be given in the unit of m. 4-4) When the outlet temperature of the oil is set at 60 °C (other conditions are the same), what is the outlet temperature of the water? The answer should be given in the unit of °C.

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
See similar textbooks
icon
Related questions
Question
Consider a double-rectangular flow channel composed of an outer rectangular channel and an inner rectangular channel. The width and height (or gap) of the inner rectangular channel are 60 and 20 mm, respectively, whereas the width and height of the outer rectangular channel are 100 and 40 mm, respectively. Oil and water, respectively, flow through the inner and outer rectangular channels, and the oil and water flow direction is the same. The flow rates of the oil and water are 0.2 and 0.3 kg/s, respectively. The important information for the thermal analysis is given below. The wall thermal resistance is 0.01 (m²-K)/W. If the flow is turbulent, the Dittus-Boelter correlation should be used for estimating the heat transfer coefficient. If the flow is laminar, the Nusselt numbers for water and oil are given as 4.01 and 5.63, respectively. The oil and water enter at temperatures of 100 and 30 °C, respectively. Oil: Specific heat capacity=2131 J/(kg K), Viscosity-3.25×102 N-s/m², Thermal conductivity 0.138 W/(m K), Prandtl number-546 Water: Specific heat capacity=4178 J/(kg-K), Viscosity-725x10-6 N-s/m², Thermal conductivity=0.625 W/(m-K), Prandtl number 4.85 100 mm Water 30 °C 0.3 kg/s 60 mm 40 mm 20 mm Oil 100 °C 0.2 kg/s 70 °C Water Inlet Outlet Cross-sectional View Side View In the current analysis, the following assumptions are made. 1. Negligible heat loss to the surroundings. 2. Negligible kinetic and potential changes. 3. Constant properties. 4. Fully developed conditions for the water and oil. 4-1) What is the hydraulic equivalent diameter for the inner rectangular channel? The answer should be given in the unit of mm. 4-2) What is the value of the exponent to Prandtl number, n, in the Dittus-Boelter correlation (NUD-0.023 Rep08 Pr") used for calculating the heat transfer from oil to wall? 4-3) How long must the tube be made if the outlet temperature of the oil is to be 70 °C? The answer should be given in the unit of m. 4-4) When the outlet temperature of the oil is set at 60 °C (other conditions are the same), what is the outlet temperature of the water? The answer should be given in the unit of °C.
Transcribed Image Text:Consider a double-rectangular flow channel composed of an outer rectangular channel and an inner rectangular channel. The width and height (or gap) of the inner rectangular channel are 60 and 20 mm, respectively, whereas the width and height of the outer rectangular channel are 100 and 40 mm, respectively. Oil and water, respectively, flow through the inner and outer rectangular channels, and the oil and water flow direction is the same. The flow rates of the oil and water are 0.2 and 0.3 kg/s, respectively. The important information for the thermal analysis is given below. The wall thermal resistance is 0.01 (m²-K)/W. If the flow is turbulent, the Dittus-Boelter correlation should be used for estimating the heat transfer coefficient. If the flow is laminar, the Nusselt numbers for water and oil are given as 4.01 and 5.63, respectively. The oil and water enter at temperatures of 100 and 30 °C, respectively. Oil: Specific heat capacity=2131 J/(kg K), Viscosity-3.25×102 N-s/m², Thermal conductivity 0.138 W/(m K), Prandtl number-546 Water: Specific heat capacity=4178 J/(kg-K), Viscosity-725x10-6 N-s/m², Thermal conductivity=0.625 W/(m-K), Prandtl number 4.85 100 mm Water 30 °C 0.3 kg/s 60 mm 40 mm 20 mm Oil 100 °C 0.2 kg/s 70 °C Water Inlet Outlet Cross-sectional View Side View In the current analysis, the following assumptions are made. 1. Negligible heat loss to the surroundings. 2. Negligible kinetic and potential changes. 3. Constant properties. 4. Fully developed conditions for the water and oil. 4-1) What is the hydraulic equivalent diameter for the inner rectangular channel? The answer should be given in the unit of mm. 4-2) What is the value of the exponent to Prandtl number, n, in the Dittus-Boelter correlation (NUD-0.023 Rep08 Pr") used for calculating the heat transfer from oil to wall? 4-3) How long must the tube be made if the outlet temperature of the oil is to be 70 °C? The answer should be given in the unit of m. 4-4) When the outlet temperature of the oil is set at 60 °C (other conditions are the same), what is the outlet temperature of the water? The answer should be given in the unit of °C.
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Compressible Flow
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Elements Of Electromagnetics
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Control Systems Engineering
Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY
Mechanics of Materials (MindTap Course List)
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning
Engineering Mechanics: Statics
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY
SEE MORE TEXTBOOKS