Catalyst Project: Identification of Effective Heat Conductivity Coefficient of Particulate Two-phase Materials
催化剂项目:颗粒两相材料有效导热系数的识别
基本信息
- 批准号:1800798
- 负责人:
- 金额:$ 17.51万
- 依托单位:
- 依托单位国家:美国
- 项目类别:Standard Grant
- 财政年份:2018
- 资助国家:美国
- 起止时间:2018-05-15 至 2023-04-30
- 项目状态:已结题
- 来源:
- 关键词:
项目摘要
Catalyst Projects provide support for Historically Black Colleges and Universities to work towards establishing research capacity of faculty to strengthen science, technology, engineering and mathematics undergraduate education and research. It is expected that the award will further the faculty member's research capability, improve research and teaching at the institution, and involve undergraduate students in research experiences. This project at Savannah State University focuses on mathematical modeling for the identification of heat conductivity coefficients of two-phase materials and provides an opportunity for undergraduate students to enhance their education through research experiences in mathematical modeling. The researcher has established a strong collaboration with faculty at Purdue University. One of the central issues of the contemporary mechanics of continuous media is the problem of identification of the mechanical properties of particulate two-phase materials and flows based on the respective properties of the constituents. This project will investigate the problem of identifying one such mechanical property, namely, effective heat conductivity. The particulate material (or suspension of particles in a fluid, such as a liquid-solid mixture) can be conceptualized as a particulate "phase" comprised of randomly dispersed particles throughout a continuous "phase". The presence of suspended particles strongly influences the overall mechanical properties. This phenomenon remains a major challenge in the field of fluid mechanics especially while estimating the effective transport coefficients, such as the heat conductivity coefficient or the viscosity coefficient, of suspensions. The long-term goal is the estimation of the effective heat conductivity coefficient for suspension by developing an in-depth mathematical model. This model will be based on a system of stochastic differential equations. This system will be recovered from the steady and unsteady heat diffusion equations by applying a method called random point approximations - also, expanding the temperature field by using a suitable stochastic functional series. In this process, the model will be fully capable of countering the problems associated with the randomness of sizes and positions of the suspended particles in a continuous media. Furthermore, it will also be able to tackle the significant issue of inhomogeneity interactions which is strongly validated by experimental data. Once developed, this model will lead to a mathematically rigorous formula for effective heat conductivity coefficient of suspension, improving Maxwell's formula for terms up to the square of concentration of the suspension. The expected outcomes will also improve our understanding of the mechanism and theory that underlies this phenomenon which will subsequently extend design options in manufacturing devices and developing processes applicable to these mechanisms, therefore opening the door to possibilities of novel processes and devices that use heat transfer and fluid flow.This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.
催化剂项目为历史上的黑人学院和大学提供支持,努力建立教师的研究能力,以加强科学,技术,工程和数学本科教育和研究。预计该奖项将进一步提高教师的研究能力,改善研究和教学机构,并参与本科生的研究经验。萨凡纳州立大学的这个项目重点关注用于识别两相材料导热系数的数学建模,并为本科生提供了通过数学建模研究经验加强教育的机会。研究人员与普渡大学的教师建立了密切的合作关系。当代连续介质力学的核心问题之一是根据组分各自的性质识别颗粒两相材料和流动的力学性质的问题。本项目将研究确定一个这样的机械性能,即有效导热性的问题。 颗粒材料(或颗粒在流体中的悬浮液,例如液-固混合物)可以被概念化为颗粒"相",其由在整个连续"相"中随机分散的颗粒组成。悬浮颗粒的存在强烈影响整体机械性能。这一现象在流体力学领域仍然是一个重大挑战,特别是在估计有效传输系数时,例如悬浮液的导热系数或粘度系数。长期目标是通过开发深入的数学模型来估计悬浮液的有效导热系数。该模型将以随机微分方程系统为基础。该系统将通过应用称为随机点近似的方法从稳态和非稳态热扩散方程中恢复-也可以通过使用合适的随机函数级数扩展温度场。在这个过程中,该模型将完全能够对抗与连续介质中悬浮颗粒的尺寸和位置的随机性相关的问题。此外,它也将能够解决不均匀相互作用的重要问题,这是由实验数据有力地验证。一旦开发,这个模型将导致一个数学上严格的公式悬浮液的有效导热系数,改善麦克斯韦公式的条款的浓度的平方。预期的结果还将提高我们对这种现象背后的机制和理论的理解,这将随后扩展适用于这些机制的制造设备和开发过程的设计选择,因此,打开了大门的可能性,新的工艺和设备,使用传热和流体流动。这一奖项反映了NSF的法定使命,并已被认为是值得支持,通过评估使用基金会的学术价值和更广泛的影响审查标准。
项目成果
期刊论文数量(3)
专著数量(0)
科研奖励数量(0)
会议论文数量(0)
专利数量(0)
Numerical Solutions of Nonlinear Ordinary Differential Equations by Using Adaptive Runge-Kutta Method
非线性常微分方程的自适应龙格-库塔法数值解
- DOI:10.24297/jam.v17i0.8408
- 发表时间:2019
- 期刊:
- 影响因子:0
- 作者:Chowdhury, Abhinandan;Clayton, Sammie;Lemma, Mulatu
- 通讯作者:Lemma, Mulatu
A high-order implicit–explicit Runge–Kutta type scheme for the numerical solution of the Kuramoto–Sivashinsky equation
Kuramoto-Sivashinsky 方程数值解的高阶隐式-显式 Runge-Kutta 型格式
- DOI:10.1080/00207160.2020.1814262
- 发表时间:2020
- 期刊:
- 影响因子:1.8
- 作者:Bhatt, H. P.;Chowdhury, A.
- 通讯作者:Chowdhury, A.
Approximate solutions to the Gardner equation by spectral modified Exponential Time Differencing method
谱修正指数时差法近似解加德纳方程
- DOI:10.1016/j.padiff.2022.100310
- 发表时间:2022
- 期刊:
- 影响因子:0
- 作者:Degon, Leo;Chowdhury, Abhinandan
- 通讯作者:Chowdhury, Abhinandan
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Abhinandan Chowdhury其他文献
Utilising venom activity to infer dietary composition of the Kenyan horned viper (Bitis worthingtoni).
利用毒液活性推断肯尼亚角蝰蛇 (Bitisworthingtoni) 的饮食成分。
- DOI:
- 发表时间:
2020 - 期刊:
- 影响因子:0
- 作者:
Nicholas J. Youngman;Abhinandan Chowdhury;C. Zdenek;K. Coster;Eric Sundman;Ralph Braun;B. Fry - 通讯作者:
B. Fry
Taxon-selective venom variation in adult and neonate <em>Daboia russelii</em> (Russell's Viper), and antivenom efficacy
- DOI:
10.1016/j.toxicon.2021.11.004 - 发表时间:
2022-01-15 - 期刊:
- 影响因子:
- 作者:
Christina N. Zdenek;Abhinandan Chowdhury;Grace Y.H. Haw;Aude Violette;Rudy Fourmy;Thomas Christ;Freek J. Vonk;Bryan G. Fry - 通讯作者:
Bryan G. Fry
Intrahepatic Cholangiocarcinoma, Perihilar Cholangiocarcinoma and Hepatocellular Carcinoma Histopathology Reporting Guide
肝内胆管癌、肝门周围胆管癌和肝细胞癌组织病理学报告指南
- DOI:
- 发表时间:
2017 - 期刊:
- 影响因子:0
- 作者:
Abhinandan Chowdhury;M. Lewin;C. Zdenek;R. Carter;B. Fry - 通讯作者:
B. Fry
Bangladeshi Honey: A Possible source of beneficial Aerobic Bacteria
孟加拉国蜂蜜:有益需氧细菌的可能来源
- DOI:
- 发表时间:
2019 - 期刊:
- 影响因子:0
- 作者:
Md. Abir Hossain;Sarbojoy Saha;Abhinandan Chowdhury - 通讯作者:
Abhinandan Chowdhury
Abhinandan Chowdhury的其他文献
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{{ truncateString('Abhinandan Chowdhury', 18)}}的其他基金
Targeted Infusion Project in Interdisciplinary Data Analytics (TIP-IDA)
跨学科数据分析定向输注项目 (TIP-IDA)
- 批准号:
1719514 - 财政年份:2017
- 资助金额:
$ 17.51万 - 项目类别:
Standard Grant
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