Find the two-dimensional temperature distribution T(x,y) and midplane temperature T(B/2,W/2) under steady state condition. The density, conductivity and specific heat of the material are ρ =1200 kg/m 3, k=400 W/m.K, and cp=2500 J/kg.K, respectively. A uniform heat flux q =1000 W/m 2 is applied to the upper surface. The right and left surfaces are also kept at 0oC. Bottom surface is insulated.

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Q: under steady-state conditions. If you are given /1 = 200 and 12 = 164 a) the conduction heat flux,…

A: Given, T1= 200°C T2=164°C T∞=20°C Length of the prism (L)= 50mm Thermal conductivity k=100W/mk…

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A: Given data, The temperature distribution equation is T=a+bx+cx2…

Q: Write the finite difference form of the two dimensional steady state heat conduction equation with…

A: Given value-∆x=∆y=0.01k=25w/mkq=107 w/m3

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Q: Consider two-dimensional steady state conduction in the plate shown. Three sides are maintained at…

A: Write the 1D heat equation in the x-direction. Write the solution of the equation.

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Q: Table Q1 shows the initial temperature distribution of a 1 cm long steel bar at equal distance Table…

A: Given : Initial Temperature - 110, 85, 70, 55, 17 L = 1 cm Diffusivity, K = 2.5 cm2/s To find : a)…

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Q: b) A plane wall is 205 mm thick and area 225 cm2 has a thermal conductivity of 14.86 W/m°C. The…

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Q: A plane wall (k = 10.2 W/m-K) of 100 mm thickness and are 3 m^2 has a steady surface temperature of…

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Q: Example 4.13. A thermocouple junction is in the form of 8 mm diameter sphere. Properties of material…

A: Given  d=8 mm, cp=420J/kg.K  ρ=8000kg/m3K=40 W/m.Kh=40W/m2Need to determine the time constant of…

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Q: 1- A rod of length ` has its ends A and B kept at 0 •C and 120-C respectively until steady state…

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Q: Find the steady-state temperature u(r,θ) in a quarter semi-circular plate of radius r=5 subject to…

A: Given that, ur,0=0       ⇒Θ0=0ur,π2=0    ⇒Θπ2=0We can solve BVP in ΘΘ"+λΘ=0For λ≠0,The general…

Q: 1. A constant heat flux of 900 W/m2 is applied to the left surface of a large plane wall of…

A: q=-kA∂T∂xq= heat fluxk= conductivityA= cross sectional area∂T∂x= thermal gradient

Q: A thermal system having a cylindrical form contains a sequence of cylindrical layers is used to cool…

A: Given Data :  K = 231 W/m K c = 1033 J/Kg K  Density ρ = 2702 Kg/m3  temperature T∞ = 500 oC…

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Q: A J- type thermocouple is used to measure the temperature in a heating process. Sheath material used…

A: Given, For SS316, density,ρ=7990kg/m3Specific heat, C=500J/kg°CConductivity, k=21.4W/mKLength of…

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Q: Assume steady-state, one-dimensional heat conduction through the symmetric shape shown in Figure 1.…

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Q: A two dimensional square plate (with 2m on each side) is subjected to the boundary conditions shown…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: EXAMPLE 2.3 A= 10 m? =1000 Wim k=D40 Winrk p= 1600 kgn 4 kiigK The temperature distribution across a…

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Q: Write the finite difference form of the two dimensional steady state heat conduction equation with…

A: Given that, ∆x=∆y=0.01 m,k=25 W/m·K,Q=107 W/m3 For an interior node with heat generation:…

Q: A J- type thermocouple is used to measure the temperature in a heating process. Sheath material used…

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Q: A J- type thermocouple is used to measure the temperature in a heating process. Sheath material used…

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Q: Pressurized steam flows through a pipe of 0.6 m diameter. The pipe is embedded in a concrete block…

A: Given: Surface Temperature of the concrete square block (T2)=301KSurface Temperature of the pipe…

Q: Water vapor at a temperature of 120 ° C flows through a stainless steel pipe (k = 57 W / mK). The…

A: Given data Ti=120° c Hi=200 w/m^2k Ks=57 w/mk Di=47mm ri=23.5mm Do=50mm ro=25mm L=100m ho=25w/m^2k…

Q: A flat plate of length 0.3 m is maintained at a temperature of 42°C. A stream of water 6.62, v=…

A: given; ⇒length of flate plate(l)=0.3m⇒temperature of plate(T1)=420c⇒Pr=6.62⇒kinematic…

Q: The internal and external surfaces of a brick wall, 5m x 6m, 30 cm thick and with a thermal…

A: Find the heat transfer through the wall.

Q: 3) Which of the following equation represents the temperature distribution (T (R, t)) for the…

A: The generalised differential equation for the conduction of heat in a stationary medium (assuming no…

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Q: based on a large 4 cm thick plate that is initially at a uniform temperature of 20°C that is heated…

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Q: (C) The composite wall of a refrigerator consists of three different materials; A, B, and C. Two of…

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Q: A J- type thermocouple  is used to measure the temperature in a heating process. Sheath material…

A: Given data: -  The length of the sheath is l = 10 mm. The thickness of the sheath is t = 0.2 mm.…

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Q: (c) A hot flexible aluminium alloy string [coefficient of thermal expansion, [a, = 23.6x10“(°C)',…

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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.