Temperature distribution along the radius of a long cylindrical shell was found to be -2596.8 W/m2; -1558.1 W/m2; T(r) = 365 +21.64 ln(r) all quantities in SI units. inward Since the temperature is only dependent on radius (r), the heat transfer in this case is radially one- dimensional. The thermal conductivity of cylindrical shell is 36 W/m-K. The shell has inner diameter of 0.5 m and outer diameter of 1 m. Find out the heat flux at r = 0.3 m and at the outer surface of the tube. Justify if the heat transfer is radially outward or radially inward.

Temperature distribution along the radius of a long cylindrical shell was found to be -2596.8 W/m2; -1558.1 W/m2; T(r) = 365 +21.64 ln(r) all quantities in SI units. inward Since the temperature is only dependent on radius (r), the heat transfer in this case is radially one- dimensional. The thermal conductivity of cylindrical shell is 36 W/m-K. The shell has inner diameter of 0.5 m and outer diameter of 1 m. Find out the heat flux at r = 0.3 m and at the outer surface of the tube. Justify if the heat transfer is radially outward or radially inward.

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

Similar questions

Determine the temperature distribution (nodal temperatures) of the structure shown in the figure using two equal-length, linear finite elements with the cross-sectional area of 1 m². The thermal conductivity is 10 W/m/°C. The left side is maintained at 300 °C. The right side is subjected to heat loss by convection with h = 1 W/m²/°C and T₁ = 30 °C. All other sides are insulated. T= 300 °C Exercise T₁ Insulated 20 m T₂ T3 T₁= 30 °C 43
A wall made of wood is 4.00 cm thick and has an area of 48.0 m². If the temperature inside is 25 °C and the temperature on the outside is 14 C, then at what rate is thermal energy transported through the wall by conduction? The thermal conductivity of wood is 0.080 Js ¹m¹(c)¹ 'n Muur is gemaak van hout wat 4.00 cm dik is en met 'n oppervlakte van 48.0 m². Wat is die tempo van energie oordrag as gevolg van geleiding deur die muur indien die binne temperatuur is 25 °C en die buite temperatuur 14 °C is? Die termiese geleidingskonstante van hout is 0.080 Jsm¹(C)1. Select one: a 82 W O b. 1056 W 690 W 1100 W O e. 2200 W O.C. O d. A
2-88 A 1.5-mm-diameter stainless-steel rod [k = 19 W/m.°C] protrudes from a wall maintained at 45°C. The rod is 12 mm long, and the convection coefficient is 500 W/m² . °C. The environment temperature is 20°C. Calculate the temperature of the tip of the rod. Repeat the calculation for h = 200 and 1500 W/m² . °C.
#m 3 E D C F3 $ 4 R F Ac = 1m² V Too,1=1 K h₁ = 1 W/m²K (5) Consider a wall (as shown above) of thickness L=1 m and thermal conductivity k-1 W/m-K. The left (x=0) and the right (x=1 m) surfaces of the wall are subject to convection with a convectional heat transfer coefficient h = 1 W/m²K and an ambient temperature T.= 1 K. Heat generation inside the wall is q=1W/m³. You may assume 1-D heat transfer, steady state condition, and neglect any thermal contact resistance. Find T(x). 44 % 5 Q Search F5 T G T₁ B x=0 * A 6 q=1 W/m³ k= 1W/mK L=1m F6 Y H F7 & 7 T₂ x= 1 m U N Top 2 = 1 K h₂=1 W/m²K PrtScn F8 8 Home M F9 ( 9 K End F10 0 L PgUp
As shown in the sketh below, a steam pipe of 0.12-m inside diameter is insulated with a layer of calcium silicate. "2. Ta2} 1. Ta,1} Steam Insulation (a) If the insulation is 10 mm thick and its inner and outer surfaces are maintained at T, = 800 K and Ta = 490 K. respectively,. what is the rate of heat loss per unit length (q) of the pipe, in W/m? (b) Determine the rate of heat loss per unit length (d), in W/m, and outer surface temperature T,2, in K, for the steam pipe with the Inner surface temperature fixed at T = 800 K, inner radius = 0.06 m, and outer radius n = 0.18 m. The outer surface is exposed to an airflow (T 25°C) that maintains a convection coefficient of h = 25 W/m2-K and to large surroundings for which Tur = T, = 25°C. The surface emissivity of calcium silicate is approximately 0.8.
Consider a copper plate that has dimensions of 3 cm x 3 cm x 7 cm (length, width, and thickness, respectively). As shown in the following figure, the copper plate is exposed to a thermal energy source that puts out 126 J every second. The density of copper is 8,900 kg/m³. Assume there is no heat loss to the surrounding block. 126 J Copper Insulation Ⓡ What is the specific heat of copper (in J/(kg K))? J/(kg. K) What is the mass of the copper plate (in kg)? kg How much energy (in J) will be consumed during 11 seconds? J Determine the temperature rise (in K) in the plate after 11 seconds.
Consider 1D heat conduction in a Cu rod with an average temperature of 25C. Does there exist a maximum (or upper-limit value) temperature gradient for heat conduction. If so, what is that value with justification on the derivation/scientific reasoning. The thermal conductivity is k=385 W/m*K. The diameter of the rod is left in terms of d.
Thermal diffusivity is a(A) Function of temperature(B) Physical property of a substance(C) Dimensionless parameter(D) All of these
A plane wall is insulated on its left side (? = 0). The wall generates energy uniformly at arate of ?̇ [W m 3⁄ ] and has thermal conductivity ?. On its right side (? = ?), the wall is exposedto a fluid at temperature ?" with convection coefficient ℎ.a) Draw a schematic of this plane wall. Make the schematic large enough that you cansketch the temperature profile within the wall after solving for it in later steps.b) Write out the full form of the Heat Diffusion Equation (HDE) in the appropriatecoordinate system for this physical scenario. Simplify the HDE and write out theappropriate boundary conditions in their general form (e.g., ?| #$% = ?& ).c) Derive an expression for the steady-state temperature distribution ?(?) within thewall. You may start from the general solution provided in Appendix C of the Bergmantextbook; or you may derive the solution directly from the differential equation andthe boundary conditions. Annotate your schematic by sketching the temperatureprofile…
Both ends of a 32 cm long rod are maintained a constant temperature of 100 °C. Dimensions and thermal parameters of the rod are as follows: Diameter D = 2 cm Convection coefficient h = 10 W/m2K Ambient temperature T¥ = 20 °C Thermal conductivity k = 10 W/mK What is the midpoint temperature of the rod?
under steady-state conditions. If you are given T1 = 200 °C and T2 = 164 °C, determine: a) the conduction heat flux, q,.cond, in m2 W from x = 0 to x = L b) if the dimensions of the triangle ares 15 mm and h 13 mm, calculate the heat transfer due to convection, q,y, in W at x = L Finsulation T2 T T = 20°C h = 500 W/m2.K Triangular Prism x L x 0 L= 50 mm k = 100 W/m-K
Find the minimum amount of diameter for the insulation of a spherical water tank? Radius of the tank is 10 m, thermal conductivity is 25 W/(m^2*K) and convective coefficient is 5 W/(m*K) not sufficient information 8 m 10 m 20 m 15 m