SATS model for radial magnetic field beyond conventional approach

IF 6.4 2区 工程技术 Q1 MECHANICS
Sohail A. Khan , Aneeta Razaq , Tasawar Hayat , Sajjad Shaukat Jamal
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引用次数: 0

Abstract

Background and objective

Thermal transport process has attracted researchers and engineers in recent time. It is due to innovative applications of heat transfer in various industrials, pharmaceutical and manufacturing fields. These applications include extraction of geothermal energy, solar thermal collectors, polymer extrusion, cooling of glass sheets, fertilizer production, oil recovery, nuclear reactors etc. In view of such consideration the magnetohydrodynamic Reiner-Rivlin nanoliquid flow invoking Cattaneo-Christov flux theory is considered. Flow induced is by curved stretched surface. Solutal and thermal transportation processes are discussed through Cattaneo-Christov fluxes model. Brownian movement and thermophoresis features are addressed. Heat equation comprises magnetohydrodynamics and thermal radiation. Isothermal reaction of first order is considered.

Methodology

Convergent series solutions of differential systems employing Optimal homotopy analysis method (OHAM) are constructed. Convergence regions for solutions are discussed through total and individual residual errors.

Results

Graphical description of temperature, liquid motion and concentration for emerging variables are examined. Nusselt number, drag force coefficient and rate of mass transport are explored. Opposite response for drag force coefficient and velocity occurs through material variable. Larger magnetic variable lead to decay liquid motion whereas reverse impact for temperature and drag force coefficient witnessed. Similar response for Nusselt number and temperature through thermal relaxation time variable is witnessed. Higher radiation corresponds to rise the thermal transport rate. Reverse behavior for concentration and mass transport rate through solutal relaxation time variable is found. It should be pointed out here that present formulation corrects the existing modeling for MHD flows by curved stretching surfaces beyond classical concepts of heat and mass fluxes through Fourier's and Fick's expressions respectively.
径向磁场的SATS模型超越了传统方法
背景与目的热输运过程是近年来研究热输运过程的热点。这是由于传热在各种工业,制药和制造领域的创新应用。这些应用包括地热能的提取、太阳能集热器、聚合物挤出、玻璃片的冷却、肥料生产、石油回收、核反应堆等。在此基础上,考虑了基于Cattaneo-Christov通量理论的磁流体动力学Reiner-Rivlin纳米流体流动。流动是由弯曲拉伸的表面引起的。通过Cattaneo-Christov通量模型讨论了溶质和热输运过程。讨论了布朗运动和热泳特性。热方程包括磁流体力学和热辐射。考虑了一级等温反应。方法利用最优同伦分析法构造微分系统的收敛级数解。通过总残差和个体残差讨论了解的收敛区域。结果对出现变量的温度、液体运动和浓度进行了图形化描述。探讨了努塞尔数、阻力系数和质量输运率。由于材料的变化,阻力系数和速度的响应是相反的。较大的磁变量导致液体运动衰减,而温度和阻力系数对液体运动有相反的影响。努塞尔数和温度随热松弛时间的变化有相似的响应。辐射越高,热输运率越高。发现了溶质弛豫时间变量对浓度和质量输运速率的反向作用。这里应该指出的是,本公式分别通过傅里叶表达式和菲克表达式修正了现有的弯曲拉伸曲面对MHD流动的建模,超越了经典的热通量和质量通量概念。
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来源期刊
CiteScore
11.00
自引率
10.00%
发文量
648
审稿时长
32 days
期刊介绍: International Communications in Heat and Mass Transfer serves as a world forum for the rapid dissemination of new ideas, new measurement techniques, preliminary findings of ongoing investigations, discussions, and criticisms in the field of heat and mass transfer. Two types of manuscript will be considered for publication: communications (short reports of new work or discussions of work which has already been published) and summaries (abstracts of reports, theses or manuscripts which are too long for publication in full). Together with its companion publication, International Journal of Heat and Mass Transfer, with which it shares the same Board of Editors, this journal is read by research workers and engineers throughout the world.
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