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What is the formula for finding heat?

By Rachel Newton

What is the formula for finding heat?

Heat (or thermal) energy of a body with uniform properties: Heat energy = cmu, where m is the body mass, u is the temperature, c is the specific heat, units [c] = L2T−2U−1 (basic units are M mass, L length, T time, U temperature). c is the energy required to raise a unit mass of the substance 1 unit in temperature.

What is the 2d heat equation?

u(x,y,t) =temperature of plate at position (x,y) and time t. For a fixed t, the height of the surface z = u(x,y,t) gives the temperature of the plate at time t and position (x,y). Physically, these correspond to holding the temperature along the edges of the plate at 0.

What is effective fin?

Efficiency of fin (ηfin): The efficiency of a fin is defined as the ratio of the actual heat transfer from the fin to that the heat that would be dissipated if whole surface of the fin is maintained at base temperature.

How do you write the heat conduction equation in cylindrical coordinates?

We can write down the equation in Cylindrical Coordinates by making TWO simple modifications in the heat conduction equation for Cartesian coordinates. a. Replace (x, y, z) by (r, φ, θ)

What is steady state in differential heat conduction equation?

The differential heat conduction equation in Cartesian Coordinates is given below, N o w, applying the two modifications mentioned above: Hence, Special cases Steady state refers to a stable condition that does not change over time. Time variation of temperature with respect to time is zero.

How do you find the heat flow rate of a cylindrical surface?

Integration is straightforward, and leads to the result Q=constantindependent of radial location. The heat flow rate Q =qA, where A is the area of the cylindrical surface normal to the r−

Why is the heat equation second order in spatial coordinates?

Because the heat equation is second order in the spatial coordinates, to describe a heat transfer problem completely, two boundary conditions must be given for each direction of the coordinate system along which heat transfer is significant.