What do you understand by transient heat conduction in semi-infinite solids?

A semi-infinite solid is an idealized body that has a single plane surface and extends to infinity in all directions except one. If a sudden change is imposed to this surface, transient one-dimensional conduction will occur within the solid.

What is transient heat conduction?

During any period in which temperatures changes in time at any place within an object, the mode of thermal energy flow is termed transient conduction. After equilibrium, heat flow into the system once again equals the heat flow out, and temperatures at each point inside the system no longer change.

What is semi-infinite solid?

Semi-infinite solid: An idealized body that has a single plane surface and extends to infinity in all directions. The earth can be considered to be a semi-infinite medium in determining the variation of temperature near its surface.

How does transient heat conduction differ from steady state conduction?

In a steady-state heat transfer, the temperature is constant throughout time, and in a transient heat transfer, the temperature changes with time.

What is a semi-infinite medium give examples of solid bodies that can be treated as semi-infinite medium for heat transfer purposes?

The earth, for example, can be considered to be a semi-infinite medium in determining the variation of temperature near its surface.

Can the earth or thick walls be considered semi-infinite media with respect to heat transfer?

Can the Earth and thick walls be considered semi-infinite media with respect to heat transfer? Yes, both can be considered semi-infinite media. Thus a large value of Fourier number indicates faster propagation of heat through body.

How does conduction transfer heat?

Heat is transferred by conduction when adjacent atoms vibrate against one another, or as electrons move from one atom to another. Conduction is the most significant means of heat transfer within a solid or between solid objects in thermal contact.

Under what conditions can a plane wall be treated as a semi-infinite medium?

Answer: A thick plane wall can be treated as a semi-infinite medium if all we are interested in is the variation of temperature in a region near one of the surfaces for a time period during which the temperature in the mid section of the wall does not experience any change.

What is steady-state and transient response?

The transient response (also called natural response) of a causal, stable LTI differential system is the homogeneous response, i.e., with the input set to zero. The steady-state response (or forced response) is the particular solution corresponding to a. constant or periodic input.

What is the difference between steady-state and non steady-state heat transfer?

2 – When to use Steady State and Unsteady state. Except for minor fluctuations, steady-state indicates that there is no change in the variable of interest. Unsteady state processes have a definitive change over time. Boiling water takes room temperature water and raises it to 100 °C over a set time.

What is an infinite medium?

Consider solutions of the wave equation, (361), in an infinite medium. Such a medium does not possess any spatial boundaries, and so is not subject to boundary constraints.

How is the temperature of transient heat conduction expressed?

Transient heat conduction In general, The temperature of a body varies with time as well as position. In rectangular co-ordinates this variation is expressed as T(x,y,z,t) x,y,z

How to solve the one dimensional transient temperature distribution?

The formulation of the one‐dimensional transient temperature distribution T(x,t) results in a partial differential equation (PDE), which can be solved using advanced mathematical methods. For plane wall, the solution involves several parameters: T = T (x, L, k, α, h, Ti, T∞) where α = k/ρCp.

Which is an idealization of a heat transfer analysis?

 The  heat transfer analysis based on this idealization is called lumped system analysis. Consider a body of arbitrary shape of mass m, volume V, surface area A, density ρ and  specific heat Cp initially at a uniform temperature Ti. Fig. 1: Lumped system analysis.