Introduction to Heat Transfer Engineering - RAHHT1 Rahsoft

Explore fundamentals of heat transfer—conduction, convection, and radiation—covering one-dimensional steady-state conduction in planes, cylinders, and spheres, and introduce overall heat transfer coefficient, critical insulation thickness, and lumped heat capacity methods.

Explore conduction heat transfer, the heat conduction law, and the one, two, and three dimensional heat conduction equations, including steady state, heat generation, and thermal diffusivity concepts.

Explore convection heat transfer, including natural and forced convection, and apply Newton's law of cooling with the convection coefficient h to relate wall temperature and fluid temperature.

Apply Newton's law of convection Q = h A ΔT to a 50 by 75 cm plate at 260 °C with air at 30 °C, giving Q ≈ 2.16 kW.

Determine the inside plate temperature by equating convection and radiation losses to conduction for a carbon steel plate (k=43 W/m·K, 0.02 m thick, 0.5×0.75 m).

Assess heat convection from a 1 mm diameter, 100 mm long wire in water, using q = h A ΔT to find the required power to hold 120 C.

Examine radiation heat transfer by applying the Stefan-Boltzmann law to black bodies and real surfaces. Explore emissivity and geometric view factors that govern net radiant exchange.

Apply the Stefan–Boltzmann law to calculate heat transfer per unit area between two black plates at 800 °C and 300 °C. Convert to kelvin and compute 69.03 W/m^2.

Calculate the total heat loss per unit length from a 5 cm steel pipe at 50 °C to air at 20 °C, using convection and radiation with emissivity 0.8.

Explore steady-state one-dimensional conduction, applying Fourier's law to plane walls and radial systems, including multilayer walls and the thermal resistance analogy to solve heat flow.

Compute the heat loss per meter for a thick stainless steel tube insulated with a three-centimeter asbestos layer. Determine the tube insulation interface temperature using thermal resistance concepts.

Show how the heat transfer coefficient combines convection and conduction in a resistance network, using Q = U A Delta T and U = 1/(1/A + Delta X/K + 1/H).

Compute the overall heat transfer coefficient by summing inner convection, wall conduction, and outer convection for a 2.5 cm tube with 0.8 mm wall, k=16, h_i=3500, h_o=7.6.

Explore how to determine the critical radius of insulation and its impact on heat transfer around a cylindrical pipe, showing when outer radius makes insulation increase or decrease heat loss.

Calculate the critical radius of insulation for asbestos (k = 0.17) around a pipe in a 40 °C room and compare heat loss at 220 °C with and without insulation.

Analyze heat source systems by solving one-dimensional heat conduction with internal heat generation, fixed boundary temperatures, and parabolic temperature distributions in walls and cylinders.

Analyze heat generation in a stainless steel wire heated by current and convected to a liquid, using resistance and convection to estimate the center temperature near 231.6 °C.

Explore the analytical method for steady-state two-dimensional conduction without heat generation, using separation of variables to solve the governing equation and determine heat fluxes Qx and Qy.

Use the two-dimensional graphical method to relate inner and outer temperatures, compute heat transfer with Q = K s ΔT, and apply shape factors for plane walls and buried cylinders.

Calculate the heat loss from a buried pipe in earth using wall and surface temperatures, earth thermal conductivity, and two pi L over the hyperbolic cosine of D, yielding about 429.8.

Calculate heat loss through walls of a 50 cm cube furnace with 10 cm thickness, 300 degrees and 50 degrees, using q = k a Δt and walls, edges, corners.

Learn to apply finite difference techniques to a two-dimensional heat conduction problem on a square grid, derive node equations, and handle convection boundaries and internal heat generation.

Apply finite-difference conduction to a square plate with top 500 C and left 100 C, while the other sides convect to 100 C; compute node temperatures and steady-state heat flows.

Explore unsteady state heat transfer by solving transient conduction in a plate using separation of variables, boundary conditions, and a series solution.

Apply the lumped heat capacity method for conduction with a uniform temperature, using tau = rho c V /(h A) and Bi = h L_c / k (Bi < 0.1).

Use the lumped heat capacity model to analyze a 5 cm steel ball at 500 C in 150 C with h 10, estimating 200 C in 1.6 hours.

Explore temperature distribution in a semi-infinite solid under one-dimensional heat conduction. Apply Laplace transforms and Gauss error function to compare constant surface flux and an instantaneous boundary pulse.

Examine transient heat transfer in a semi-infinite steel block under two cases: a surface temperature rise to 250 c and a constant surface heat flux, 2.5 cm after 30 s.

Estimate surface and 2 mm depth temperatures after an instantaneous 1e7 J/m^2 laser pulse on stainless steel for 2 s; surface about 580 C, depth 2 mm about 523 C.

Use Heisler charts for plates, cylinders, and spheres to solve convection boundary problems in transient heat conduction. Read center line and off-center temperatures with Biot and Fourier numbers.

Demonstrates solving a convection cooling problem for a large aluminium plate using Heisler charts to find center temperature, temperature at depth after one minute, and energy removed per unit area.

Learn to model multi-dimensional heat transfer by combining one-dimensional plate and cylinder solutions, using product methods and Heisler charts to obtain dimensionless temperature distributions in complex geometries.

Determine axis and surface temperatures of a semi infinite aluminium cylinder after one minute of convection by blending infinite cylinder and semi infinite solutions, yielding 117.6 and 116.3 degrees Celsius.

Apply a two- and one-dimensional transient heat conduction finite-difference method to compute nodal temperatures, using explicit time stepping and Fo stability criteria under varying boundary conditions.