Example – Book Problem 3.59A spherical, 3 mm cryogenic probe at temperature -30 C isembedded into skin at 37°C. Frozen tissue develops andthe interface between the frozen and normal tissue is 0°C.If the thermal conductivity of frozen tissue is 1.5 W/m-K andheat transfer at the phase front is characterized by aconvection coefficient of 50 W/m?-K, what is the thickness ofthe frozen layer?4= 0.0015 mProbeT8.1 30 °C-T22=0°C12Normal tissueTen = 37 °Ch= 50 Wim2 -KoondFrozen tissue, k= 1.5 WimKdoonv

A spherical, 3 mm cryogenic probe at temperature -30 C is embedded into skin at 37°C. Frozen tissue develops and the interface between the frozen and normal tissue is 0°c. If the thermal conductivity of frozen tissue is 1.5 Wim-K and heat transfer at the phase front is characterized by a convection coefficient of 50 W/m?-K, what is the thickness of the frozen layer?

A spherical, 3 mm cryogenic probe at temperature -30 C is embedded into skin at 37°C. Frozen tissue develops and the interface between the frozen and normal tissue is 0°c. If the thermal conductivity of frozen tissue is 1.5 Wim-K and heat transfer at the phase front is characterized by a convection coefficient of 50 W/m?-K, what is the thickness of the frozen layer?

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: A food product to be produced in the form of a small round (pellet) by the way frozen in the freezer…

A: Temperature of air freezer(Ta) =-30°C initial temperature of product =25°Cdiameter of…

Q: A food product wants to be produced in a small round shape (pellet) by freezing it in a water blast…

A: Given: A food product wants to be produced in a small round shape. The initial freezing temperature…

Q: A thin-film electrical heater dissipating 2000 W/m? is sandwiched between two 25 mm thick plates…

A: Given: Total heat flux dissipating from the electrical heater→qT=2000 W/m2 Hence heat flux…

Q: 1. A simple cavity wall consists of two brick layers separated by an air gap of 50 mm. If the inside…

Q: Thermal treatment of a steel cube, of 10 cm side length, L, requires a two step cooling process. In…

A: Given that, Length of cube, L=10 cm,Temperature of cube, Ti=500 °C,Cooling temperature of cube,…

Q: A spherical, 3 mm cryogenic probe at temperature -30°C is embedded into skin at 37°C. Frozen tissue…

A: Write the given values along with the suitable variables.

Q: A silicon computer chip (k = 150 W/m · K) is attached to the top of a motherboard tha generating…

Q: A closed container filled with hot coffee as shown below is in a room whose air and walls are at…

Q: A thermopane window consists of two pieces of glass The window separates room air at 20°C from…

Q: A pipe with 8 cm intemal diameter, 9 cm outer diameter, 2 meter long, thermal conductivity 30Wimk is…

A: INTRODUCTION : The critical radius of insulation is the insulation radius that is used to reduce…

Q: Steel pipe 1 cm thick, 1.0 m long and 8 cm deep, quiet with 4 cm thick insulation. The inner wall…

A: Given data: For steel pipe, outer diameter, do=8 cm ⇒Outer radius, ro=4 cm. Thickness of steel pipe…

Q: 10 cm-thick beef steak is being frozen in a -35°C room. The product has 73% moisture content,…

A: As given that ρf= 970 kg/m3 , mm=0.73 , Kf=1.1W/(mk) , Tf=-35°C , Ta= -1.75°C; , h=15 W/(m2K) ; Now…

Q: 4. An insulated steam pipe located where the ambient temperature is 32°C, has an inside diameter of…

Q: 2-The steady-state temperature distribution in a one-dimensional wall of thermal conductivity…

Q: A bearing piece in the form of half of a hollow cylinder of 60 mm ID, 90 mm OD and 100 mm long is to…

Q: Steel pipe 3 cm thick, 1.0 m long and 10 cm deep, quiet with 6 cm thick insulation. The inner wall…

Q: A square thermal window is constructed of two sheets of flat glass, each 4.00 mm thick, separated by…

A: Given:kglass=0.80 W/m.Kkair=0.024 W/m.KTcold=20oCThot=30oCCross-sectional area, A=6.00 m2Find:a The…

Q: A wall made of concrete 0.305 m thick is insulated on the sides. Uniform wall temperature 10°C (283…

A: Given: The thickness of concrete wall, L = 0.305 m The temperature of wall, Ti = 283.2 K The…

Q: A piece of beef steak 7 cm thick will be frozen in the freezer room -40 ° C. This product has a…

A: Given, Thickness of beef steak, d=7cm=0.07m Density of the product, ρ=970kg/ m3 Thermal conductivity…

Q: Q1 a) The hot combustion gases of a furnace are separated from the ambient air and its surroundings,…

Q: A large plate of aluminum 5.0 cm thick and initially at 200°C js suddenly exposed to the convection…

Q: Find the interface temperatures of the layers,ASAP

A: Given, For the composite wall; l=4m b=3m h=3mwhere, area of rectangular wall…

Q: A food product to produced in the form of small round (pellet) with frozen in the freezer water…

Q: The nuclear fuel in cylindrical shape of length L at radius R is covered with aluminum shell at…

A: Given Data: Nuclear Fuel cell Length = LRadius = RFHeat energy per unit volume Sn=Snoa+brRF1/2…

Q: An infinite parallel-sided slab of non-dimensional thickness L=1, has an initial (at non-…

A: It is asked to generate an implicit model for unsteady-state one-dimensional heat conduction…

Q: An oven in our factory has wall of 35 cm thicknesl with inner temperetur 650°C and outer tempercture…

A: given; thickness (t)=35cm=0.35minner temperature(T1)=6500coutput temperature (T2)=950csurrounding…

Q: A food product with 73% moisture content in a 10 cm diameter can wants to be frozen. The density of…

A: Given data, x = Moisture contains in the food product = 0.73 a = Diameter of the food product = 0.1…

Q: A piece of beef steak 7 cm thick will be frozen in the freezer room -40 ° C. This product has a…

Concept explainers

Conduction and Convection

When energy travels from one object to another it is said to have undergone heat transfer. Heat transfer is nothing but the transfer of thermal energy or internal energy from one thing to another, like e.g., when a vessel with water, kept on top of a burner, heats up because of the flame underneath it.

Question

Example – Book Problem 3.59
A spherical, 3 mm cryogenic probe at temperature -30 C is
embedded into skin at 37°C. Frozen tissue develops and
the interface between the frozen and normal tissue is 0°C.
If the thermal conductivity of frozen tissue is 1.5 W/m-K and
heat transfer at the phase front is characterized by a
convection coefficient of 50 W/m?-K, what is the thickness of
the frozen layer?
4= 0.0015 m
Probe
T8.1 30 °C
-T22=0°C
12
Normal tissue
Ten = 37 °C
h= 50 Wim2 -K
oond
Frozen tissue, k= 1.5 WimK
doonv

Expert Solution

This question has been solved!

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

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Trending now

This is a popular solution!

Step by step

Solved in 4 steps with 4 images

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

The steady-state temperature distribution in a one-dimensional wall of thermal conductivity 50 W/m -K and thickness 50 mm is observed to be T(°C) = a + bx, where a = 200 °C, b=-2000 °C/m², and x is in meters. i. ii. What is the heat generation rate in the wall? (8) Determine the heat fluxes at the two wall faces. In what manner are these heat fluxes related to the heat generation rate? (
2. Carbon steel shaft with diameter of 350 mm is heat treated in a gas fired furnace where the the furnace is at 2000 K and convection coefficient of 25 W/m²K. If the initial temperature of the gas in carbon steel shaft is 500K and the specific heat capacity and density of Carbon Steel are 600 J/kg.K and 7800 kg/m³ respectively; a. How much time does the ball take to be heated to a temperature of 1500K b. What will be the temperature of the ball after 30 minutes of heating c. If you increase the diameter of the shaft two times what will be the duration required for heating the ball to the required temperature of 1500K
Problem 2 pts 1-D Heat Transfer with Convection. The solid material is subjected to a temperature differential that can be described using the mixed boundary conditions. Use four identical elements to determine the steady-state temperature distribution through the solid. Both ends of the surface are subjected to heat loss by convection (Nodes 1 and 5). Assume the cross-sectional area is the same for all elements, A=0.01 m?. Insulated, 1-d heat transfer in x-dir Gas 1: h1=2000 W/(m?K) Gas 2: h5=5000 W/(m²K) T1°=110°C=383.15 K Solid surface: T50=81°C=354.15 K +x k=150 W/(m K) 0.1 m
This question requires the use of the conduction charts given in the appendix at the end of this paper. A wooden sphere of diameter 5 cm is initially at a uniform temperature of 21 °C. Its surface temperature is suddenly raised to 83 °C. The thermal conductivity and thermal diffusivity of the wood are 0.15 W/m K and 0.82 x 10-7 m2/s, respectively. a) Calculate the temperature 2 cm beneath the surface of the sphere 30 min after the sudden increase in temperature. b) Calculate the energy gained by the sphere during this time.
Answer correctly and quickly as possible please.
PLEASE ANSWER WITH UNIT!!!!! A copper sphere having a diameter of 2 cm is initially at a uniform temperature of 312 F. It is then suddenly exposed to an air-forced- convection environment at 20 C of which the convective heat transfer coefficient is 200 W/m2K. Embedded in the sphere is a thermocouple to measure the temperature as a function of time. How long will it take for the thermocouple to indicate 30 C. What is the time constant for this system? (Density of copper is 8890 kg/m3) , (Specific heat for copper is 398 J/kg.K).
A 10 cm-thick beef steak is being frozen in a -40°C room. The product has 73% moisture content, density of 970 kg/m³, and thermal conductivity (frozen) of 1.1 W/(m K). Estimate the freezing time using Plank’s equation. The product has an initial freezing temperature of -1.75°C, and the movement of air in the freezing room provides a convective heat-transfer coefficient of 10 W/(m² K). a. tf =... h
7. A composite wall consists of three materials, as shown in Figure 2. The inside wall temperature is 200°C and the outside air temperature is 50°C with a convection coefficient of 10 W/m²-K. Determine the temperature along the composite wall. Where A is the area of cross- section (can be taken to be equal to 1) and k is the conductivity. Problem is governed by the equation d²T -kA- = 0, 0
Air has a very low thermal conductivity. This explains whywe feel comfortable wearing short sleeves in a 20°C environment eventhough our body temperature is 37°C. Material objects feel cooler to ourimmediate touch than the air, owing to relatively high thermal conductivities.(a) Touch a few surfaces in a room-temperature environment andrank them in order of which feel the coolest to which feel the warmest.Objects that feel cooler have larger thermal conductivities. Consider awood surface, a metallic surface, and a glass surface, and rank these inorder from coolest to warmest
A piece of beef steak 5 cm thick will be frozen in the freezer room -25 ° C. This product has a moisture content of 73%, a density of 970 kg / m, and a thermal conductivity (frozen) of 1.1 W / (m K). Estimate the freezing time. using the Plank equation. This product has an initial freezing temperature of -1.75 ° C, and the movement of air in the freezing room gives a convective heat transfer coefficient of 10 W / (m² K). tf =