What is the bioheat equation?

What is the bioheat equation?

The bioheat equation, assuming constant thermal properties and an isotropic medium, is given by where X = (x1, x2, x3) represents the position vector; ρ, c, and k are the effective density, specific heat and thermal conductivity of the tissue; ρb and cb are the density and specific heat of blood; ωb is the blood …

What is Pennes equation?

This study focuses on the effect of the temperature response of a semi-infinite biological tissue due to a sinusoidal heat flux at the skin. The Pennes bioheat transfer equation such as ρtct(∂T/∂t) + Wbcb(T − Ta) = k∂2T/∂x2 with the oscillatory heat flux boundary condition such as q(0,t) = q0eiωt was investigated.

What is heat transfer Slideshare?

Heat Transfer  Definition: Heat transfer is the process of transfer of heat from high temperature system to a low temperature system.  In the thermodynamic system, heat transfer is the movement of heat across the boundary of the system due to temperature difference between the system and surrounding.

What are three methods of heat transfer?

Heat can be transferred in three ways: by conduction, by convection, and by radiation.

• Conduction is the transfer of energy from one molecule to another by direct contact.
• Convection is the movement of heat by a fluid such as water or air.
• Radiation is the transfer of heat by electromagnetic waves.

What is transfer of heat called?

heat transfer, any or all of several kinds of phenomena, considered as mechanisms, that convey energy and entropy from one location to another. The specific mechanisms are usually referred to as convection, thermal radiation, and conduction (see thermal conduction).

What is S.I. unit of heat?

Generally, in the SI system, all forms of energy are measured in terms of joules. Notably, heat is a form of energy, and therefore the SI unit of heat is also joules (J) which are defined as the amount of energy needed to raise the temperature of a given mass by one degree.

What is CGS and SI?

Table D.1: The centimetre-gram-seconds (CGS) and the metre-kilogram-seconds (SI) unit systems. To convert from one system to the other, cgs unit factor mks unit.

What is the Pennes bioheat transfer equation?

The Pennes bioheat transfer equation, which describes the exchange magnitude of heat transfer between tissue and blood, is widely used to solve the temperature distribution for thermal therapy [3], [4], [5], [6], [7], [8].

What is the best book on bioheat transfer?

Roetzel, W. & Xuan, Y. Bioheat equation of the human thermal system. Chem. Eng. Technol. 20, 268–276 (1997). Nakayama, A. & Kuwahara, F. A general bioheat transfer model based on the theory of porous media. Int. J. Heat Mass Transf. 51, 3190–3199 (2008). Vafai, K. Handbook of porous media (CRC Press, 2015). Woodard, H. Q. & White, D. R.

Are porous media-based models more accurate than Pennes’ equations?

However, at 20 mm, the differences between both the LTE and LTNE models and Pennes’ equation are ~ 8 °C, which justifies the difference of about 0.01 m in the final coagulation diameters obtained and suggests that the porous media-based models could be more accurate than Pennes’ in this case.

How does temperature affect RF power in bioheat?

Table 1 45 V RFA results computed for different bioheat models (Pennes’, Local Thermal Equilibrium, Local Thermal Non-Equilibrium) and porosity values. At lower temperatures electrical conductivity increased less, so impedance ( Z) decreased less and RF applied power decreased too ( P = V 2 / Z ).