Consider a cylindrical copper rod in whích there is a unifom volumetric heating q = 12 kW/m³. The rod is in a cross flow of air at velocity and temperature which are v, = 10 m/s and T. = 350 K respectively. The rod surface temperature is Ts = 400K. The rod outer diameter and length are D = 5 cm and L = 50 cm respectively. Assume natural convection and radiation to be negligible and you can neglect heat transfer from the tips of the cylinder. I. Estimate the drag experienced by the rod. II. Find the average convection heat transfer coefficient which characterises convection from the outer surface using the appropriate correlation. III. Find the time rate of change of temperature of the full rod at the initial time when the rod is first placed in the air flow. Air Properties: At T, = 350 K: v = 20.92 x 10-6 m2 /s, p 1 kg/m³ k = 30 x 10-3 W /m. K, Pr = 0.70 At T, = 400 K: p = 0.871 kg/m3, u= 230 x 10-7 N.s/m², Pr, = 0.69 Copper Properties: At T, = 400 K: p = 8900 kg/m³ , c = 385 J/kg K, k = 400 W /m K

Consider a cylindrical copper rod in whích there is a unifom volumetric heating q = 12 kW/m³. The rod is in a cross flow of air at velocity and temperature which are v, = 10 m/s and T. = 350 K respectively. The rod surface temperature is Ts = 400K. The rod outer diameter and length are D = 5 cm and L = 50 cm respectively. Assume natural convection and radiation to be negligible and you can neglect heat transfer from the tips of the cylinder. I. Estimate the drag experienced by the rod. II. Find the average convection heat transfer coefficient which characterises convection from the outer surface using the appropriate correlation. III. Find the time rate of change of temperature of the full rod at the initial time when the rod is first placed in the air flow. Air Properties: At T, = 350 K: v = 20.92 x 10-6 m2 /s, p 1 kg/m³ k = 30 x 10-3 W /m. K, Pr = 0.70 At T, = 400 K: p = 0.871 kg/m3, u= 230 x 10-7 N.s/m², Pr, = 0.69 Copper Properties: At T, = 400 K: p = 8900 kg/m³ , c = 385 J/kg K, k = 400 W /m K

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

Related questions

Q: Water at a temperature of 25oC flows parallel over a flat plate with free-stream velocity of 2 m/s.…

Q: Outside air ( v =15.89 x 106 m2/s, p= 1.16 kg/m3, Pr=D0.707, k=0.0263 W/mK) with temperature of…

A: In general, there are three modes by which heat gets transferred from one place to another. The…

Q: Show that if the atmosphere is isothermal, the temperature change of a parcel of air rising…

A: Given: Atmosphere is isothermal T0 - Temperature of parcel T'0 - Temperature of air To find:…

Q: Air with free stream temperature of 10 C is flowing over a flat plate (1.5m long and Im wide). The…

Q: Find out the local convection coefficient for a flow over a flat plate at a distance of 0.2 m from…

A: As per the company policy, we are restricted to solve only one question at a time. Thanks for…

Q: Air at 10 m/s is flowing over a cylinder of D=(1) cm and L = 1 m. Air has thermal conductivity 0.027…

Q: Water at 20°C_flows with a velocity of 10m/s over a flat plate which is maintained at 80°C. Find the…

Q: Use scale analysis to find an expression for 8/x and Nu for flow over a flat plate with a thin…

Q: Determine the total heat transfer rate to the ice water.

A: Given: To determine:the total heat transfer rate to the ice water

Q: Find out the local convection coefficient for a flow over a flat plate at a distance of 0.2 m from…

A: Given, Temperature of water, Tw= 60∘CVelocity of water, v= 2m/sFilm temperature, Tf= 40∘CWe should…

Q: -5- For flow over a flat plate, the temperature distribution inside the boundary layer is given by:…

A: The given function is

Q: 7-42 C&S In cryogenic equipment, cold air flows in parallel over the surface of a 2-m x 2-m ASTM…

Q: For seaworthiness trial of a new ocean-going vessel design, the total convective heat transfer rate…

Question

Q 3(c)
Consider a cylindrical copper rod in which there is a unifom volumetric heating
q = 12 kW/m³. The rod is in a cross flow of air at velocity and temperature which are
v. = 10 m/s and T, = 350 K respectively. The rod surface temperature is Ts =
400K. The rod outer diameter and length are D = 5 cm and L = 50 cm respectively.
Assume natural convection and radiation to be negligible and you can neglect heat
transfer from the tips of the cylinder.
I. Estimate the drag experienced by the rod.
II. Find the average convection heat transfer coefficient which characterises
convection from the outer surface using the appropriate correlation.
III. Find the time rate of change of temperature of the full rod at the initial time when
the rod is first placed in the air flow.
Air Properties: At T. = 350 K: v = 20.92 x 10-6 m2/s, p = 1 kg/m3
k = 30 x 10-3W/m. K, Pr = 0.70
At T, = 400 K: p = 0.871 kg/m3 , u = 230 x 10-7 N.s/m?, Pr, = 0.69
Copper Properties: At T, = 400 K: p = 8900 kg/m , c = 385 J/kg K, k =
400 W /m. K
%3D

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1 Introduction

VIEW

Step 2 Solution

VIEW

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

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

Assume that the head can be modeled as a hemisphere (radius ro 90 mm) with a single layer of brain tissue (k-0.5 W/m °C). The bottom of the hemisphere is insulated. The head surface is assumed exposed to a convection environment (h-8 W/m²K, T-25°C). Based on the boundary conditions, the brain tissue temperature can be treated as 1-D, i.e., T.(r), where r is the radial variable in the spherical coordinates. The volumetric metabolic heat generation rate in the brain is uniformly distributed and is equal to q=10000 W/m³. Consider two situations, a) no blood perfusion is considered; b) blood perfusion rate is uniform in the brain and is equal to @=0.01 s¹. The governing equation (steady state, 1-D heat transfer in the spherical coordinate system, with or without the Pennes perfusion term) and boundary conditions for both situations can be written as: k₁ 1 d 2 r=0 dr dT, dr dT, 17/17) + 0 dr =0 T,(r)= dT, r=r-k₁- =h(T, -T.) dr (a) For the first situation without considering blood perfusion…
A vertical pipe 90 mm diameter and 2.5 m height is maintained at a constant temperature of 125 o The pipe is surrounded by still atmospheric air at 25 oC. Find heat loss by natural convection. Properties of water at 75 oC: Density = 1.0145 kg/m3 Kinematic viscosity = 20.55 x10-6 m2/s Prandtl number (Pr) = 0.693 Thermal conductivity (k) = 30.06 x 10–3 W/m K
Air at 10°C and 1 atm is flowing parallel at a velocity of 15.5 m/s over the top flat surface of copper plate. The top surface of the copper plate is 0.03m by 0.03m square. The temperature of copper plate is uniform at 65.6°C. For laminar flow, calculate the dimensionless Reymolds number (Nre) and Nussel number (NNu). Table A.3-3a. Physical Properties of Air at 101.325 kPa (1 Atm Abs), SI Units Bx (Bp²/1?) T (kJ/kg · u x T (Pa ·s, k (W/m 103 (1/K • (°C) T (K) (kg/m³) K) -17.8255.41.379 1.0048 1.62 × 6s or kg/m · s) · K) Npr (1/K) m³) 0.022500.7203.92 2.79 x 108 O 273.21.293 1.0048 1.72 × (0-5 0.024230.7153.65 2.04 × 108 10.0 283.21.246 1.0048 1.78 ×/0 0.024920.7133.53 1.72 x 108 37.8 311.01.137 1.0048 1.90%/0-S 0.027000.7053.22 1.12 x 108 Select one: O A. NRe = 27826.58; NNu =98.58 O B. NRe = 23215.74; NNu =152.68 O C. NRe = 27826.58; NNu = 152.68 O D. NRe = 23215.74; NNu =98.58
In the arctic sea, the ice sheets are melting. Let's calculate the temperautre distribution in one such ice sheet. The sheet is 2 m thick. Under the sheet there is ice-water mixture and it can be assumed that the temperature of the bottom surface of the ice sheet is approximately 0°C. Air at -20°C is blowing above the sheet. The convection coefficient of air is 15 W/m².K. The thermal conductivity of ice is 2.2 W/m.K. What is the temperautre of icesheet at its center (i.e., at 1 m from the surface)?