Conference Proceeding

Mathematics in Space and Applied Sciences (ICMSAS-2023)
ICMSAS-2023

Subject Area: Mathematics
Pages: 331
Published On: 03-Mar-2023
Online Since: 04-Mar-2023

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 Book Chapter

Thermal Instability of Jeffrey Nanofluid in Porous Media with Variable Gravity

Author(s): Pushap Lata Sharma, Deepak

Email(s): pl_maths@yahoo.in , deepakbains123@gmail.com

Address: Pushap Lata Sharma1, Deepak2*
1,2Department of Mathematics and Statistics, Himachal Pradesh University, Summer Hill, Shimla-171005, India
*Corresponding Author

Published In:   Conference Proceeding, Mathematics in Space and Applied Sciences (ICMSAS-2023)

Year of Publication:  March, 2023

Online since:  March 04, 2023

DOI:


Keywords:
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Thermal Instability of Jeffrey Nanofluid in Porous Media with Variable Gravity

 

Pushap Lata Sharma1, Deepak2*

1,2Department of Mathematics and Statistics, Himachal Pradesh University, Summer Hill, Shimla-171005, India

*Corresponding Author E-mail: pl_maths@yahoo.in, deepakbains123@gmail.com

 

ABSTRACT:

In this paper the effect of variable gravity on thermal instability of Jeffrey nanofluid in porous media is carried out by normal mode and Galerkin procedure. Eight variable gravity parameters : are taken and their impacts on the Jeffrey parameter, Lewis number, moderated diffusivity ratio, porosity of porous media and nanoparticle Rayleigh number on stationary convection have been analysed graphically.

 

KEYWORDS: Jeffrey nanofluid, variable gravity, Galerkin technique, porous medium

 

INTRODUCTION:

A brand-new category of fluid called nanofluid has recently been used with success in heat transfer devices. Choi [1] is credited with coining the term "nanofluid", which is defined as the suspension of nanoparticles in a carrier fluid (such as water, ethylene glycol, or lubricants), such as carbon, metals, or metal oxides. Tzeng et al. [2], Kim et al. [3], Routbort et al. [4], and Donzelli et al. [5] all discussed the different uses of nanofluid. They claim that nanofluid may be employed in a wide range of technical applications, including those in the computer sector, the medical field, the automobile industry, and power plant cooling systems. Chandrasekhar [6] has presented theoretical and experimental findings on the stability of cellular convection of a Newtonian fluid layer in a nonporous media, in the presence of rotation and magnetic field. The phenomena of thermal instability in a porous media have applications in many different domains. It has several uses in nuclear reactor construction, food processing, oil reservoir modelling, building thermal insulation, and geophysics. Numerous researchers have used various fluid types to study the issues with thermal instability. Using linearized stability theory, Lapwood [7] investigated convective flow in a porous material. Wooding [8] has thought about the thermal boundary layer's Rayleigh instability during flow through a porous media. Vafai et al. [9], Ingham et al. [10], Vadasz [11], and Nield et al. [12] provide excellent accounts of convection issues in a porous medium. A lot of people are interested in Bénard convection, which is the commencement of convection in a horizontal layer of evenly heated nanofluid based on Buongiorno's model. The initial study on convective transport in nanofluids was conducted by Buongiorno [13]. The basic fluid velocity plus a relative (slip) velocity, he said, may be thought of as the total of the nanoparticles' absolute velocity. Later, convection on porous media was investigated by Nield et al. [14, 15]. On the basis of Buongiorno's transport equations, the thermal instability of nanofluid has been researched by Tzou [16, 17], Nield et al. [18-20], Sheu [21, 22], Yadav et al. [23], Chand et al. [24-30], Yadav et al. [31], Chand et al. [32], Govender [33], Chand et al. [34, 35], Kaothekar [36], Chand et al. [37], Sreelakshmi et al. [38] and Chand et al. [39]. Later, thermal instability in Jeffrey nanofluid was investigated by Rana [40] and Rana et al. [41]. Although it is appropriate for laboratory use, the idealisation of uniform gravity assumed in theoretical research is not warranted for large-scale convection events happening in the Earth's atmosphere, ocean, or mantle. Thus, it is crucial to think of gravity as a variable quantity that changes with distance from a surface or other reference point. The thermal instability of a fluid layer in a changeable gravitational field was addressed by Pradhan et al. [42] and the effects of varying gravity on the thermal instability in a porous medium with an internal heat source and an inclined temperature gradient were investigated by Alex et al. [43]. Impressed by the importance of variable gravity many authors such as Chand [44, 45], Chand et al. [46, 47], Yadav [48], Mahajan et al. [49], Surya et al. [50] and Shekhar et al. [51] studied the variable gravity’s impact on thermal instability.

 

In this research, we've made an effort to examine how Jeffrey nanofluid, which is in a horizontal layer in a porous media heated from below, is affected by variations in gravity.

 



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Author/Editor Information

Dr. Sanjay Kango

Department of Mathematics, Neta Ji Subhash Chander Bose Memorial, Government Post Graduate College, Hamirpur Himachal Pradesh-177 005, INDIA




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