Here are some assumptions that are made for Fourier law. Identify the wrong onea)No internal heat generationb)Steady state heat conductionc)Non- linear temperature profiled)Isotropic and homogenous materialCorrect answer is option 'C'. Can you explain this answer?

Question

Answer

Fourier's law is an essential concept in heat transfer that explains how the heat energy flows between two objects in contact. The law is based on several assumptions that must hold true for its application to be valid. The following are the assumptions made for Fourier's law:

No Internal Heat Generation:
This assumption implies that there is no heat source or sink within the material under consideration. It means that the heat transfer is entirely due to the temperature difference between the two objects and not due to any internal heat generation. This assumption is usually valid for most engineering applications.

Steady State Heat Conduction:
Steady-state heat conduction refers to a situation where the temperature distribution within the material remains constant with time. In other words, the rate of heat transfer into the material is equal to the rate of heat transfer out of the material. This assumption is necessary for Fourier's law to hold.

Isotropic and Homogeneous Material:
This assumption implies that the thermal conductivity of the material is the same in all directions and that the material's physical properties are uniform throughout. This assumption is usually valid for most materials, except for composites or anisotropic materials.

Non-Linear Temperature Profile:
This assumption implies that the temperature gradient within the material is linear. This assumption is not valid for all materials, especially for those with large temperature gradients.

Therefore, the wrong assumption made for Fourier's law is Option C: Non-Linear Temperature Profile. This assumption is not valid for all materials, especially for those with large temperature gradients.

Similar Chemical Engineering Doubts

The diffusion equations2t + qg= (1/α) (d t/d r)Governs the temperature distribution under unsteady heat flow through a homogenous and isotropic material. The Fourier equation follows from this expression when

For the body shown in the figure, find out the thermal resistance against heat conduction along the x-axis. Consider the body to be at steady state with no internal heat generation in the material. The material is homogenous

Assumptions made for calculation of logarithmic mean temperature difference are(i) Constant overall heat transfer coefficient(ii) The kinetic and potential energy changes are negligible(iii) There is no conduction of heat along the tubes of heat exchangerIdentify the correct statements

For steady state 1D heat conduction through a planar wall with internal heat generation, the temperature profile is

Consider radial steady state heat conduction through a hollow spherical conductor carrying a heat source inside the sphere. The temperature distribution in the shell T = T (r ) is __________T is the temperature at a distance r from the center.

Top Courses for Chemical Engineering

Suggested Free Tests

Related Content

Schools

Competitive Examinations

Quick Access Links

Technical Exams