Treatment of Transport at the Interface Between Multilayers via the Lattice Boltzmann Method

Mohamad, A. A.; Tao, Qiang; He, Yan; Bawazeer, Saleh A.

doi:10.1080/10407790.2014.949563

Cited by 20 publications

(9 citation statements)

References 11 publications

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“…However, their method is only applicable for conjugate heat conduction. Another promising approach was proposed by Mohamad et al [28], in their method, the continuity of heat flux at the interface is ensured by coupling temperature difference with a new scaling law of energy distribution function. It is suitable for steady and unsteady conjugate heat transfer between two different immiscible media, what confines this method is that it requires the interface must locate at computational nodes.…”

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confidence: 99%

A lattice Boltzmann algorithm for simulating conjugate heat transfer through virtual heat capacity correction

Lei

Dai

2017

International Journal of Thermal Sciences

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A fundamental problem for lattice Boltzmann method (LBM) to simulate conjugate heat transfer between solid and fluid is that lattice Boltzmann equation (LBE) can only retrieve standard energy equation when solid has the same heat capacity (c ) with that of fluid. When their heat capacities are different, the continuity of heat flux cannot be kept at the interface for conventional LBM. In present work, a lattice Boltzmann algorithm for simulating conjugate heat transfer through virtual heat capacity correction method is proposed to solve this problem. This algorithm, at first, assume that the solid has the same heat capacity (c ) with that of fluid to keep the continuity of heat flux at the interface between solid and fluid, after that modify the temperature field and the heat flux distribution function according to real data of heat capacity of fluids or solids at the end of each time step. This algorithm also fits to conjugate heat conduction problems between solid and solid as long as we take one of the solids as a kind of fluid that does not flow. Several test cases including both steady and transient conjugate heat transfer with flat or curved interface are calculated to validate the present method. The results show that the proposed method has a very good performance in simulating solid-fluid and solid-solid conjugate heat transfer, which is easy in implementation, capable for solving both steady and transient heat transfer problems. Also, the present method can deal with curved interface easily without a necessary to find the normal direction of interface. However, this method suffers a stability problem while the heat capacity (c ) of fluid is larger than that of solid, which will be eliminated in future work.

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confidence: 99%

A lattice Boltzmann algorithm for simulating conjugate heat transfer through virtual heat capacity correction

Lei

Dai

2017

International Journal of Thermal Sciences

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“…Both Seddiq et al [103] and Mohamad et al [104] consider the conjugate heat transfer problem in a LBM framework with the interface located at a node. In both cases the temperature at the interface is determined through an energy balance to ensure that the flux condition is met.…”

Section: Thermal Coupling Of Particle and Fluid Behavioursmentioning

confidence: 99%

“…In both cases the temperature at the interface is determined through an energy balance to ensure that the flux condition is met. This is done on the interface populations by Seddiq's group [103] but from a macroscopic perspective by Mohamad's group [104] with this temperature then acting on the interface populations through the equilibrium functions. The relaxation of populations crossing the interface is dependent on the respective material properties.…”

Section: Thermal Coupling Of Particle and Fluid Behavioursmentioning

confidence: 99%

“…The relaxation of populations crossing the interface is dependent on the respective material properties. Mohamad's work [104] relaxes populations on the interface with an average relaxation parameter whilst those in Seddiq's work [103] evolve based on the difference between pre-and poststreaming values.…”

Section: Thermal Coupling Of Particle and Fluid Behavioursmentioning

confidence: 99%

“…The second approach adapts the populations of nodes at the interface of two components to enforce the continuity restrictions at these locations [104,107,83,103,108]. This computation is non-local in that information (in particular temperature) from the neighbouring nodes is needed to ensure these conditions are met correctly.…”

Section: Approaches For Conjugate Heat Transfer In Tlbmmentioning

confidence: 99%

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Numerical investigation of conjugate heat transfer and temperature-dependent viscosity in non-Brownian suspensions with application to hydraulic fracturing

McCullough¹

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Particle suspensions are relevant in a number of scientific and engineering fields, where they can occur at a wide range of scales. Examples of these include blood flow, flood debris, crystal formation, mineral processing plants and pharmaceutical production. One particular application occurs within the hydraulic fracturing process used in the oil and gas industry. Here, a fracturing fluid with a solid proppant component (typically sand) is pumped into a reservoir to increase low permeability. The fluid pressure fractures the reservoir allowing transport of proppant within the rock. On removal of the fluid, the proppant prevents the closure of fractures leading to increased reservoir permeability and enhanced production of hydrocarbons. To meet ongoing demand for fossil fuels, a growing number of unconventional oil and gas reservoirs are being exploited. One example of this is the coal seam gas industry that has emerged in Queensland, Australia. To facilitate continuing improvement of the hydraulic fracturing performance, the ongoing development of modelling techniques to better understand the physical processes occurring during a treatment is an important goal. The performance of a hydraulic fracturing treatment depends on the physical properties (e.g. density, viscosity) of the fluid to transport the proppant throughout the fracture network and maximise the permeability of the reservoir. Temperature variations from the surface to the reservoir, via the well, can alter these properties and result in unexpected performance of a fracturing operation. Current

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Conjugate natural heat transfer scrutiny in differentially heated cavity partitioned with a conducting solid using the lattice Boltzmann method

Ferhi

Djebali

Abboudi

et al. 2019

J Therm Anal Calorim

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Treatment of Transport at the Interface Between Multilayers via the Lattice Boltzmann Method

Cited by 20 publications

References 11 publications

A lattice Boltzmann algorithm for simulating conjugate heat transfer through virtual heat capacity correction

A lattice Boltzmann algorithm for simulating conjugate heat transfer through virtual heat capacity correction

Numerical investigation of conjugate heat transfer and temperature-dependent viscosity in non-Brownian suspensions with application to hydraulic fracturing

Conjugate natural heat transfer scrutiny in differentially heated cavity partitioned with a conducting solid using the lattice Boltzmann method

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