Exams › GATE › Engineering Mathematics
Biot number signifies the ratio of
- convective resistance in the fluid to conductive resistance in the solid
- conductive resistance in the solid to convective resistance in the fluid
- inertia force to viscous force in the fluid
- buoyancy force to viscous force in the fluid
Correct answer: convective resistance in the fluid to conductive resistance in the solid
Solution
The Biot number is defined as the ratio of internal conductive resistance to external convective resistance. In many exam options, this is described equivalently as convective resistance in the fluid to conductive resistance in the solid, depending on wording.
Related GATE Engineering Mathematics questions
- For the three-dimensional object shown in the figure below, five faces are insulated. The sixth face (PQRS), which is not insulated, interacts thermally with the ambient with a convective heat transfer coefficient of 10 W/m²·K. The ambient temperature is 30°C. Heat is uniformly generated inside the object at the rate of 100 W/m³. Assuming the face PQRS to be at uniform temperature, its steady-state temperature is
- A coolant fluid at $30^\circ\text{C}$ flows over a heated flat plate maintained at a constant temperature of $100^\circ\text{C}$. The boundary-layer temperature distribution at a given location on the plate may be approximated as $T = 30 + 70e^{-y}$, where $y$ (in m) is the distance normal to the plate and $T$ is in $^\circ\text{C}$. If the thermal conductivity of the fluid is $1.0\ \text{W/mK}$, the local convective heat transfer coefficient $h$ (in $\text{W/m}^2\text{K}$) at that location will be
- Common Data for Questions 53 and 54: Radiative heat transfer is intended between the inner surfaces of two very large isothermal parallel metal plates. The upper plate (plate 1) is a black surface and is maintained at 727 °C. The lower plate (plate 2) is a diffuse gray surface with emissivity 0.7 and is kept at 227 °C. Assume that the surfaces are sufficiently large to form a two-surface enclosure and that steady-state conditions exist. Stefan-Boltzmann constant is $5.67\times10^{-8}$ W/m$^2$K$^4$. Q.53 The irradiation (in kW/m$^2$) for the upper plate (plate 1) is
- Water \((C_p = 4.18\,\text{kJ/kg·K})\) at 80°C enters a counterflow heat exchanger with a mass flow rate of 0.5 kg/s. Air \((C_p = 1\,\text{kJ/kg·K})\) enters at 30°C with a mass flow rate of 2.09 kg/s. If the effectiveness of the heat exchanger is 0.8, the LMTD, in °C, is
- Consider one-dimensional steady-state heat conduction without heat generation in a plane wall, with boundary conditions as shown in the figure below. The conductivity of the wall is given by $k = k_0(1 + bT)$, where $k_0$ and $b$ are positive constants, and $T$ is temperature. As $x$ increases, the temperature gradient $(dT/dx)$ will
- The smallest positive root of the equation $x^5 - 5x^4 - 10x^3 + 50x^2 + 9x - 45 = 0$ lies in the range
⚔️ Practice GATE Engineering Mathematics free + battle 1v1 →