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Basic Model Elements
Published in Clarence W. de Silva, Modeling of Dynamic Systems with Engineering Applications, 2023
The Biot number is an index of how the temperature varies within a body (through conduction) as heat is supplied into or taken out of the body through its outer surface (through convection). Specifically,
Basic Heat Transfer
Published in Neha Gupta, Gopal Nath Tiwari, Photovoltaic Thermal Passive House System, 2022
From the Equation (2.7a), the Biot number may be defined as the ratio of the convective heat transfer coefficient at the surface of a solid body to the conductive heat transfer coefficient within the body. This parameter is important in cases where a solid body is immersed in hot fluid for heating. Initially, the outer surface of the solid is heated via convection, and then the heat is transferred to the inner parts of the body through conduction. In terms of thermal resistance, it may also be defined as the ratio of thermal resistance faced by conductive heat transfer to the thermal resistance faced by the convective heat transfer. This means if the value of Biot number is small, then there will be lesser resistance to heat conduction, and thus, there will be small temperature gradients within the body.
Modelling of Heat Transfer During Deep Fat Frying of Food
Published in Surajbhan Sevda, Anoop Singh, Mathematical and Statistical Applications in Food Engineering, 2020
KK Dash, Maanas Sharma, MA Bareen
The Nusselt Number is used to characterize the heat flux from a solid surface to a fluid. In that case, the thermal conductivity is for the fluid. The Biot number is used the characterize the heat transfer resistance “inside” a solid body. In that case, k is the thermal conductivity of the solid body, and h is the heat transfer coefficient that describes the heat transferred from the “surface of the solid body” to the surrounding fluid. The Biot Number can be thought of as the ratio of internal diffusion resistance to external convection resistance. Note that 1/h is the external convection resistance and L/k is the internal diffusion resistance.
Entropy generation due to micro-rotating Casson's nanofluid flow over a nonlinear stretching plate: numerical treatment
Published in Waves in Random and Complex Media, 2022
Abdul Samad Khan, M. N. Abrar, Salah Uddin, M. Awais, Imran Usman
Figure 6(a,b) illustrates the impact of heat transfer Biot number in the company of heat source/sink coefficient () on the dimensionless energy profile. It is seen that the fluid temperature enhances with an enhancement in the Biot number, even in the company of heat sink coefficient. So it can be concluded that an increase in the temperature profile with the Biot number is independent of heat source/sink coefficient δ. Physically, the Biot number portrays the ratio of heat convection to conduction; hence the larger magnitude of the Biot number will generate more heat, which in turn accelerates the flow energy. Moreover, the heat distribution for the heat source is higher than the heat sink coefficient which is obvious.
Analysis of Multiphase Heat Transfer of TA2/Q235B Clad Plate Subjected to Impinging Liquid Jet Cooling
Published in Heat Transfer Engineering, 2021
Guoyong Liu, Yang Yang, Danesh K. Tafti, Xuesong Ye, Ze Cao, Dongmei Zhu
Biot number represents the ratio of thermal resistance per unit area of heat conduction in solid to that per unit area of heat transferred through convection (i.e. external thermal resistance). Therefore, the Biot number of the clad plate:δ is the thickness, λ is the thermal conductivity, h is the surface HTC. Titanium steel clad plate is made of titanium plate based on the steel plate. It can be approximated that the thermal resistance of the titanium plate is in series with that of steel plate. The thermal conductivity is calculated at each temperature by JMatPro software. Table 7 shows the thermal conductivity of the TA2 titanium plate and Q235B steel plate from 300 °C to 900 °C calculated by JMatPro software.
Darcy-Forchheimer flow of Prandtl-Eyring nanofluid subjected to a Riga plate of varying thickness along with Brownian diffusion, thermophoresis and non-uniform heat source/sink effects
Published in Numerical Heat Transfer, Part A: Applications, 2023
Santosh Chaudhary, Kiran Kunwar Chouhan
Figure 11a and b display alterations of temperature and concentration distribution profiles, which are detected to be higher for temperature whereas dual manner in case of concentration, for higher numbers of local Biot number (Bi). This variation is higher for minor values of η. Biot number is the proportion of intrinsic resistance to heat conduction in a solid body to the exterior resistance at its surface due to heat convection. From a physical standpoint, a rise in Biot number drives a superior heat transfer coefficient, which consequently boosts thermal and concentration profile.