MIXED CONVECTION HEAT TRANSFER OF VISCOELASTIC FLUID ALONG AN INCLINED PLATE OBEYING THE FRACTIONAL CONSTITUTIVE LAWS

Zhao Jinhu; Zheng Liancun; Zhang Xinxin; Liu Fawang

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MIXED CONVECTION HEAT TRANSFER OF VISCOELASTIC FLUID ALONG AN INCLINED PLATE OBEYING THE FRACTIONAL CONSTITUTIVE LAWS

机译：沿着倾斜板的混合对流传热沿着倾斜的板遵循分数构成规律

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摘要

The fractional constitutive laws are introduced into the study of mixed convection heat transfer of viscoelastic fluid along an inclined plate. Nonlinear fractional boundary layer governing equations are formulated and solved by a finite difference algorithm combined with the shifted Grunwald-Letnikov formula. The results show that the inclination angle, Prandtl number, and the temperature fractional derivative parameter have remarkable impacts on both temperature and velocity fields, while the effect of the velocity fractional derivative parameter on temperature is ignorable. With decrease of the inclination angle and Prandtl number, the temperature profile rises and the thermal boundary layer becomes thicker significantly. The average Nusselt number increases remarkably with the augmentation of the temperature fractional derivative parameter. For larger velocity fractional derivative parameter, the intersections of velocity profiles demonstrate the strengthened viscoelasticity of the fluid. The average skin friction coefficient increases slowly first and then declines dramatically with the rise of the velocity fractional derivative parameter.

机译：沿倾斜板的粘弹性流体混合对流传热研究引入了分数本构规则。通过与移位的Grunwald-Letnikov公式结合的有限差分算法配制和解决了非线性分数边界层控制方程。结果表明，倾斜角度，普朗特数和温度分数衍生物参数对温度和速度场具有显着的影响，而速度分数衍生物参数对温度的影响是无知的。随着倾斜角和普朗特数的减少，温度曲线升高并且热边界层显着变厚。随着温度分数衍生参数的增强，平均露天数量显着增加。对于较大的速度分数衍生物参数，速度谱的交叉点证明了流体的强化粘弹性。平均皮肤摩擦系数首先慢慢增加，然后随着速度分数衍生物参数的升高而显着下降。

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来源
《Heat Transfer Research》 |2017年第13期|共14页
作者
Zhao Jinhu; Zheng Liancun; Zhang Xinxin; Liu Fawang;
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作者单位

Fuyang Normal Coll Sch Math &

Stat Fuyang 236037 Anhui Peoples R China;

Univ Sci &

Technol Beijing Sch Math &

Phys Beijing 100083 Peoples R China;

Univ Sci &

Technol Beijing Sch Energy &

Environm Engn Beijing 100083 Peoples R China;

Queensland Univ Technol Sch Math Sci GPO Box 2434 Brisbane Qld 4001 Australia;

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原文格式 PDF
正文语种 eng
中图分类热力工程理论;
关键词
mixed convection; viscoelastic fluid; spatial fractional derivatives; modified Newton's law; modified Fourier's law;

机译：混合对流;粘弹性液体;空间分数衍生物;改进的牛顿定律;修改了傅里叶的法律;

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1. 熔体浇注温度和板倾斜度对倾斜板制备A356铝合金的凝固和显微组织的影响 [J] . N. K. KUND 中国有色金属学报（英文版） . 2014,第011期
2. 熔体浇注温度和板倾斜度对倾斜板制备A356铝合金的凝固和显微组织的影响(英文) [J] . N.K.KUND 中国有色金属学报：英文版 . 2014,第011期
3. MIXED CONVECTION HEAT TRANSFER OF VISCOELASTIC FLUID ALONG AN INCLINED PLATE OBEYING THE FRACTIONAL CONSTITUTIVE LAWS [J] . Zhao Jinhu, Zheng Liancun, Zhang Xinxin, Heat Transfer Research . 2017,第13期

机译：沿着倾斜板的混合对流传热沿着倾斜的板遵循分数构成规律
4. Heat transfer of convective MHD viscoelastic fluid along a moving inclined plate with power law surface temperature using finite element method [J] . Minakshi Poonia, R. Bhargava Multidiscipline modeling in materials and structures . 2014,第1期

机译：对流MHD粘弹性流体沿运动斜板的幂律表面温度传热有限元法。
5. Discussion: 'Convection Heat Transfer of Power-Law Fluids Along the Inclined Nonuniformly Heated Plate With Suction or Injection' [J] . Asterios Pantokratoras Journal of Heat Transfer . 2019,第4期

机译：讨论：“动力法流体沿倾斜的非均匀加热板的吸或注入对流传热”
6. Natural convective fluid flow and heat transfer over upward-facing horizontal and slightly inclined plate, shrouded by a parallel cover plate [C] . H.Chen, Y.Ma, Kenzo Kitamura International conference on engineering thermophysics . 1999

机译：通过平行的盖板覆盖的自然对流流体流动和热传递在向上面对的水平和略微倾斜的板上覆盖
7. AN EXPERIMENTAL STUDY ON NATURAL CONVECTION HEAT TRANSFER OF NON-NEWTONIAN FLUIDS FROM HORIZONTAL WIRES (RHEOLOGY, POLYMER SOLUTION, POWER-LAW, PURELY VISCOUS, VISCOELASTIC). [D] . NG, MOSES LUNGFAI. 1985

机译：水平线非牛顿流体自然对流传热的实验研究（流变学，聚合物溶液，幂律，纯粘性，粘弹性）。
8. Conjugate heat transfer of laminar mixed convection of a nanofluid through an inclined tube with circumferentially non-uniform heating [O] . Shahriar Allahyari, Amin Behzadmehr, Seyed Masoud Hosseini Sarvari 2011

机译：通过周向非均匀加热通过倾斜管对纳米流体的层流混合对流进行共轭传热
9. Discussion: “Force Convection Heat Transfer at an Inclined and Yawed Square Plate—Application to Solar Collectors” (Sparrow, E. M., and Tien, K. K., 1977, ASME J. Heat Transfer, 99, pp. 507–512) and “Local Heat Transfer and Fluid Flow Characteristics for Airflow Oblique or Normal to Square Plate” (Tien, K. K., and Sparrow, E. M., 1979, Internation Journal of Heat and Mass Transfer, 22, pp. 349–359) and “Effect of Finite Width on Heat Transfer and Fluid Flow about an Inclined Rectangular Plate” (Sparrow, E. M., Ramsey, J. W., and Mass, E. A., 1979, ASME J. Heat Transfer, 101, pp. 199–204) [O] . B. Nimmo, S. Zubair 1981

机译：讨论：“在倾斜和偏航的方形板应用于太阳能收集器的强制对流传热”（Sparrow，EM和Tien，KK，1977，Asme J.传热，99，PP。507-512）和“局部热量用于气流倾斜或正常板的转移和流体流动特性“（Tien，KK和Sparrow，EM，1979，热量和传质杂志，22，pp.349-359）和”有限宽度对热量的影响关于倾斜矩形板的转移和流体流动“（Sparrow，EM，Ramsey，JW和Mass，EA，1979，ASME J.传热，101，PP。199-204）

MIXED CONVECTION HEAT TRANSFER OF VISCOELASTIC FLUID ALONG AN INCLINED PLATE OBEYING THE FRACTIONAL CONSTITUTIVE LAWS

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