Application of conjugate gradient method for estimation of the wall heat flux of a supersonic combustor

Cheng, Lihong; Zhong, Fengquan; Gu, Hongbin; Zhang, Xinyu

doi:10.1016/j.ijheatmasstransfer.2016.01.036

Cited by 22 publications

(5 citation statements)

References 15 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…tf is the total time. In this paper, the L-curve method is selected as the regularization parameter choice strategy [25] .…”

Section: Temperature Field Reconstruction Methodsmentioning

confidence: 99%

See 1 more Smart Citation

A temperature field reconstruction method for debonding defect identification in laminated structures

Zhang

et al. 2022

J. Phys.: Conf. Ser.

View full text Add to dashboard Cite

The surface temperature is an important parameter capable of detecting and quantifying defects in laminated structures if subjected to a thermal load. In this paper, a temperature field reconstruction method is developed to detect the size of debonding defect in laminated structures. A Tikhonov regularization based conjugate gradient method (CGM) is applied to reconstruct the temperature field of a laminated structure for determination of the size of a debonding defect. Tikhonov regularization deals with the severe ill-posedness and the CGM is used for solving the minimization problem. Some simulation examples are carried out to validate the effectiveness and stability of the inverse analysis. Results show that for small defects, the defect detection results based on temperature field reconstruction have higher accuracy than that detected directly by available surface temperature measurement.

show abstract

“…tf is the total time. In this paper, the L-curve method is selected as the regularization parameter choice strategy [25] .…”

Section: Temperature Field Reconstruction Methodsmentioning

confidence: 99%

“…The temperature information of the adhesive layer directly reflects the defect characteristics and avoids the process of lateral heat conduction. The main purpose is to estimate the unknown temperature on inaccessible adhesive layer from the temperature on a reachable boundary [22][23][24][25] . The outline of the paper is as follows.…”

Section: Introductionmentioning

confidence: 99%

A temperature field reconstruction method for debonding defect identification in laminated structures

Zhang

et al. 2022

J. Phys.: Conf. Ser.

View full text Add to dashboard Cite

show abstract

“…The numerical investigation of Wang et al [12] indicated that the wall heat flux is greatly influenced by the flow and combustion characteristics, which leads to the high non-uniform distribution of heat flux in the supersonic combustor. Besides, researchers found that the heat conduction of the combustor wall can be estimated by the conjugate gradient method, in which the transient temperature and heat flux of the inner wall is obtained through the measurement of outer wall temperature, and the difference between simulation results and experimental measurements was found to be less than 5% [13].…”

Section: Introductionmentioning

confidence: 99%

A Parametrical Study on Convective Heat Transfer between High-Temperature Gas and Regenerative Cooling Panel

Wang

Zhang

et al. 2021

Energies

View full text Add to dashboard Cite

Thermal protection is still one of the key challenges for successful scramjet operations. In this study, the three-dimensional coupled heat transfer between high-temperature gas and regenerative cooling panel with kerosene of supercritical pressure flowing in the cooling channels was numerically investigated to reveal the fundamental characteristics of regenerative cooling as well as its influencing factors. The SST k-ω turbulence model with low-Reynolds-number correction provided by the pressure-based solver of Fluent 19.2 is adopted for simulation. It was found that the heat flux of the gas heated surface is in the order of 106 W/m2, and it declines along the flow direction of gas due to the development of boundary layer. Compared with cocurrent flow, the temperature peak of the gas heated surface in counter flow is much higher. The temperature and heat flux of the gas heated surface both rises with the static pressure and total temperature of gas. The heat flux of the gas heated surface increases with the mass flow rate of kerosene, and it hardly changes with the pressure of kerosene. Results herein could help to understand the real heat transfer process of regenerative cooling and guide the design of thermal protection systems.

show abstract

“…Wang et al [20] proposed an improved CGM for a three-dimensional parabolic partial differential equation to reconstruct the heat flux and source term based on the surface temperature measurements. Cheng et al [21] proposed a transient IHCP considering variations in material properties with respect to temperature and used CGM to recover the unknown heat flux based on the outer temperatures of the supersonic combustor. A combination of singular value decomposition method and CGM is proposed to improve the inverse solution [22].…”

Section: Introductionmentioning

confidence: 99%

Inverse approach for estimating boundary properties in a transient fin problem

Gnanasekaran

Balaji

2018

Sādhanā

View full text Add to dashboard Cite

A solution methodology is proposed for an inverse estimation of boundary conditions from the knowledge of transient temperature data. A forward model based on prevalent time-dependent heat conduction fin equation is solved using a fully implicit finite volume method. First, the inverse model is formulated and accomplished for time-invariant heat flux at the fin base, and later extended to transient heat flux, base temperature and average heat transfer coefficient. Secondly, the Nusselt number is then replaced with Rayleigh number in the forward model to realistically estimate the base temperature, which varies with respect to time, based on in-house transient fin heat transfer experiments. This scenario further corroborates the validation of the proposed inverse approach. The experimental setup consists of a mild steel 250 Â 150 Â 6 mm 3 fin mounted centrally on an aluminium base 250 Â 150 Â 8 mm 3 plate. The base is attached to an electrical heater and insulated with glass-wool to prevent heat loss to surroundings. Five calibrated K-type thermocouples are used to measure temperature along the fin. The functional form of the unknown parameters is not known beforehand; sensitivity studies are performed to determine suitability of the estimation and location of sensors for the inverse approach. Conjugate gradient method with adjoint equation is chosen as the inverse technique and the study is performed as a numerical optimization; subsequently, the estimates show satisfactory results.

show abstract

Application of conjugate gradient method for estimation of the wall heat flux of a supersonic combustor

Cited by 22 publications

References 15 publications

A temperature field reconstruction method for debonding defect identification in laminated structures

A temperature field reconstruction method for debonding defect identification in laminated structures

A Parametrical Study on Convective Heat Transfer between High-Temperature Gas and Regenerative Cooling Panel

Inverse approach for estimating boundary properties in a transient fin problem

Contact Info

Product

Resources

About