Sensitivity analysis of the nanofluid flow over a stretching flat surface

IF 1.9 4区物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY

Pramana Pub Date : 2023-01-11 DOI:10.1007/s12043-022-02493-x

A Shahzad, W A Khan, R Gul

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引用次数: 1

Abstract

In this study, the sensitivity caused by the input parameters, such as Lewis number (\(L_e\)), thermophoresis parameter (\(N_t\)) and Brownian motion parameter (\(N_b\)) of a nanofluid flow past a stretching flat surface is studied using response surface methodology (RSM). The mathematical model is solved using numerical technique and Nusselt and Sherwood numbers are considered as quantities of interest. The involved parameters, such as Lewis number, thermophoresis parameter and Brownian motion parameter, are varied for arbitrary values in the interval. A central composite design is used to obtain the quadratic model for the output, such as Nusselt and Sherwood numbers. It is found that reduced Nusselt number is most sensitive towards the Brownian motion parameter (\(N_b\)) in the interval \(5\le L_e \le 25\). Sherwood number is sensitive towards thermophoresis parameter in the interval \(5\le L_e \le 25\) for fixed Brownian motion parameter (\(N_b=0.3\)).

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纳米流体在拉伸平面上流动的灵敏度分析

本研究采用响应面法(RSM)研究了纳米流体流过拉伸平面时，输入参数如Lewis数(\(L_e\))、热泳参数(\(N_t\))和布朗运动参数(\(N_b\))所引起的灵敏度。数学模型用数值方法求解，努塞尔数和舍伍德数作为感兴趣的量。所涉及的参数，如路易斯数、热泳参数和布朗运动参数，在区间内随任意值而变化。采用中心复合设计得到输出的二次模型，如努塞尔数和舍伍德数。发现在\(5\le L_e \le 25\)区间内，约简努塞尔数对布朗运动参数(\(N_b\))最为敏感。对于固定的布朗运动参数(\(N_b=0.3\))， Sherwood数在\(5\le L_e \le 25\)区间内对热泳参数敏感。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Pramana 物理-物理：综合

CiteScore

3.60

自引率

7.10%

发文量

206

审稿时长

3 months

期刊介绍： Pramana - Journal of Physics is a monthly research journal in English published by the Indian Academy of Sciences in collaboration with Indian National Science Academy and Indian Physics Association. The journal publishes refereed papers covering current research in Physics, both original contributions - research papers, brief reports or rapid communications - and invited reviews. Pramana also publishes special issues devoted to advances in specific areas of Physics and proceedings of select high quality conferences.