Heat and Mass Transfer

Yarin, L. P.

doi:10.1007/978-3-642-19565-5_7

Cited by 16 publications

(16 citation statements)

References 17 publications

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“…m, s, kg and K are required as measurement units to express all the quantities that appear in the problem. According to Buckingham's theorem (Yarin 2012), it is possible to express the solution and boundary conditions in terms of (8 + 2) − 4 = 6 dimensionless groups or parameters. The dimensionless representation of the solution can be useful to identify the physical factors that drive the analysed phenomenon.…”

Section: Exact Solution For Compressible Viscous Flows In Conical Nozmentioning

confidence: 99%

Exact solutions for quasi-one-dimensional compressible viscous flows in conical nozzles

Ferrari

2021

J. Fluid Mech.

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Section: Exact Solution For Compressible Viscous Flows In Conical Nozmentioning

confidence: 99%

Exact solutions for quasi-one-dimensional compressible viscous flows in conical nozzles

Ferrari

2021

J. Fluid Mech.

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“…Based on the movement characteristics of hot smoke, the fire-affected area of a large-space fire is mainly divided into three areas when the flashover does not occur and before the flashover occurs [ 50 ]—the smoke plume area, the impact area, and the ceiling jet area—as shown in Figure 10 . In the smoke plume area, an open axisymmetric plume model represents a plausible first approximation for the smoke plume area within large-space buildings [ 51 ]. In the impact area, the smoke plume impacts the ceiling and the direction of motion changed significantly.…”

Section: Numerical Simulationmentioning

confidence: 99%

Research on Flashover Prediction Method of Large-Space Timber Structures in a Fire

Zhang

Wang

2021

Materials

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Due to the flammability of materials and the vastness of space, flashover fires of large-space timber structures pose a huge threat to lives as well as the structures themselves. Therefore, it is necessary to study the critical conditions, control factors and prediction methods of flashover fires. To address this issue, hundreds of design conditions were simulated by Fire Dynamics Simulator (FDS) with variations in space size, the heat release rate (HRR) of fire source and fire growth type. A temperature–time model of the maximum temperature of the smoke layer near the ceiling (Tmax) was established, and the critical condition that uses this model to predict the occurrence of flashover was determined. Furthermore, a mathematical formula was established that can accurately predict the flashover induction time when the Tmax exceeds 400 °C. This research can provide a reference for the performance-based fire safety design of large-space timber structures.

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“…They can be expressed by using the three independent values: the linear dimension, the mass of rotating liquid and time. According to the fundamental expression on dimensional analysis presented by Buckingham (called the Π theorem), there are six dimensionless numbers (9 − 3 = 6), which are power multiplication products and which can be used for the analysis (Yarin 2012).…”

Section: Parametric Object Identificationmentioning

confidence: 99%

Dimensionless Numbers of Structural and Process Similitude of a Whirlpool Hot Trub Separator

Diakun

Jakubowski

2013

J Food Process Engineering

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The paper presents an application of a dimension similitude theory in an analysis of the flow in a hot trub separator. It presents a procedure for derivation of dimensionless numbers based on a comprehensive analysis of all the forces occurring during fluid flow in a whirlpool. A combination of quotients of elementary forces has allowed to attain the dimensionless numbers. Among them, there are well-known numbers such as the Reynolds and Strouhal numbers, and there is also one original number. Modifications of these numbers have been derived to describe process conditions characteristic for the flow in the whirlpool. Dimensionless numbers relating to the time and the secondary flow parameters occurring at the bottom of the tank have been highlighted. General forms of functions of the dimensionless numbers have been proposed for calculating the time of the whirling motion and the parameters of the flow that form the sediment cone.

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Heat and Mass Transfer

Cited by 16 publications

References 17 publications

Exact solutions for quasi-one-dimensional compressible viscous flows in conical nozzles

Exact solutions for quasi-one-dimensional compressible viscous flows in conical nozzles

Research on Flashover Prediction Method of Large-Space Timber Structures in a Fire

Dimensionless Numbers of Structural and Process Similitude of a Whirlpool Hot Trub Separator

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