Mathematical Modeling and Theoretical Analysis of Second-Grade Nanomaterial with Entropy Optimization

Mujeeb Ur Rahman; M. Ijaz Khan; Fazal Haq; T. Hayat

doi:10.1007/s40995-019-00749-7

Mathematical Modeling and Theoretical Analysis of Second-Grade Nanomaterial with Entropy Optimization

Mujeeb Ur Rahman
, M. Ijaz Khan
, Fazal Haq
, T. Hayat

Karakoram International University
Quaid-I-Azam University
Faculty of Sciences, King Abdulaziz University

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

A theoretical study of a second-grade nanofluid over a porous medium has been conducted. Stagnation point flow is considered. Effects of nonlinear radiative heat flux, dissipation and Joule heating are considered in the modeling of energy equation. Furthermore, chemical reaction is accounted. The wall is not stationary, but stretching at rate a. Total irreversibility rate is obtained through the second thermodynamics law. Slip mechanism of nanoparticles like Brownian movement and thermophoresis are considered. Suitable transformations lead to ordinary system. Solution development is done through HAM. Effects of pertinent variables are graphically discussed. Skin friction and temperature gradient are examined graphically versus different parameters. It is observed that velocity field decreased versus larger magnetic parameter. Temperature enhances versus rising values of magnetic and radiation variables. Main idea of present flow is listed.

Original language	English
Pages (from-to)	2713-2723
Number of pages	11
Journal	Iranian Journal of Science and Technology, Transaction A: Science
Volume	43
Issue number	5
DOIs	https://doi.org/10.1007/s40995-019-00749-7
State	Published - 1 Oct 2019
Externally published	Yes

Keywords

Chemical reaction
Entropy generation
Joule heating and viscous dissipation
Nonlinear mixed convection
Nonlinear radiative heat flux
Second-grade nanofluids

Access to Document

10.1007/s40995-019-00749-7

Cite this

@article{a3d437d95a294b04bdaa2952ca95f756,

title = "Mathematical Modeling and Theoretical Analysis of Second-Grade Nanomaterial with Entropy Optimization",

abstract = "A theoretical study of a second-grade nanofluid over a porous medium has been conducted. Stagnation point flow is considered. Effects of nonlinear radiative heat flux, dissipation and Joule heating are considered in the modeling of energy equation. Furthermore, chemical reaction is accounted. The wall is not stationary, but stretching at rate a. Total irreversibility rate is obtained through the second thermodynamics law. Slip mechanism of nanoparticles like Brownian movement and thermophoresis are considered. Suitable transformations lead to ordinary system. Solution development is done through HAM. Effects of pertinent variables are graphically discussed. Skin friction and temperature gradient are examined graphically versus different parameters. It is observed that velocity field decreased versus larger magnetic parameter. Temperature enhances versus rising values of magnetic and radiation variables. Main idea of present flow is listed.",

keywords = "Chemical reaction, Entropy generation, Joule heating and viscous dissipation, Nonlinear mixed convection, Nonlinear radiative heat flux, Second-grade nanofluids",

author = "Rahman, \{Mujeeb Ur\} and Khan, \{M. Ijaz\} and Fazal Haq and T. Hayat",

note = "Publisher Copyright: {\textcopyright} 2019, Shiraz University.",

year = "2019",

month = oct,

day = "1",

doi = "10.1007/s40995-019-00749-7",

language = "English",

volume = "43",

pages = "2713--2723",

journal = "Iranian Journal of Science and Technology, Transaction A: Science",

issn = "1028-6276",

publisher = "Springer Science and Business Media Deutschland GmbH",

number = "5",

}

TY - JOUR

T1 - Mathematical Modeling and Theoretical Analysis of Second-Grade Nanomaterial with Entropy Optimization

AU - Rahman, Mujeeb Ur

AU - Khan, M. Ijaz

AU - Haq, Fazal

AU - Hayat, T.

PY - 2019/10/1

Y1 - 2019/10/1

N2 - A theoretical study of a second-grade nanofluid over a porous medium has been conducted. Stagnation point flow is considered. Effects of nonlinear radiative heat flux, dissipation and Joule heating are considered in the modeling of energy equation. Furthermore, chemical reaction is accounted. The wall is not stationary, but stretching at rate a. Total irreversibility rate is obtained through the second thermodynamics law. Slip mechanism of nanoparticles like Brownian movement and thermophoresis are considered. Suitable transformations lead to ordinary system. Solution development is done through HAM. Effects of pertinent variables are graphically discussed. Skin friction and temperature gradient are examined graphically versus different parameters. It is observed that velocity field decreased versus larger magnetic parameter. Temperature enhances versus rising values of magnetic and radiation variables. Main idea of present flow is listed.

AB - A theoretical study of a second-grade nanofluid over a porous medium has been conducted. Stagnation point flow is considered. Effects of nonlinear radiative heat flux, dissipation and Joule heating are considered in the modeling of energy equation. Furthermore, chemical reaction is accounted. The wall is not stationary, but stretching at rate a. Total irreversibility rate is obtained through the second thermodynamics law. Slip mechanism of nanoparticles like Brownian movement and thermophoresis are considered. Suitable transformations lead to ordinary system. Solution development is done through HAM. Effects of pertinent variables are graphically discussed. Skin friction and temperature gradient are examined graphically versus different parameters. It is observed that velocity field decreased versus larger magnetic parameter. Temperature enhances versus rising values of magnetic and radiation variables. Main idea of present flow is listed.

KW - Chemical reaction

KW - Entropy generation

KW - Joule heating and viscous dissipation

KW - Nonlinear mixed convection

KW - Nonlinear radiative heat flux

KW - Second-grade nanofluids

UR - https://www.scopus.com/pages/publications/85071003850

U2 - 10.1007/s40995-019-00749-7

DO - 10.1007/s40995-019-00749-7

M3 - Article

AN - SCOPUS:85071003850

SN - 1028-6276

VL - 43

SP - 2713

EP - 2723

JO - Iranian Journal of Science and Technology, Transaction A: Science

JF - Iranian Journal of Science and Technology, Transaction A: Science

IS - 5

ER -

Mathematical Modeling and Theoretical Analysis of Second-Grade Nanomaterial with Entropy Optimization

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this