MHD nanofluid flow around a permeable stretching sheet with thermal radiation and viscous dissipation

Abstract

In this research article, we have investigated the unsteady MHD nanofluids flow problem around a permeable linearly stretching sheet under the influence of thermal radiation and viscous dissipation. Transfer of mass and heat analysis is considered for various kinds of nano-particles such as $A l_{2} O_{3}$ , Cu, Ag and TiO₂. Many research studies had been concluded that thermal conductivity of traditional fluid accelerates 15–40% as nano-particles are mixed in to a base fluid, this theory however depends upon the adding mechanism of the nano-particles. Although it depends upon volume fraction, agglomeration or size of nano-particles etc. But it can be concluded from this study, in a magnetic field environment not only the fluid flow is more consistent than regular fluid but also the rate of heat transfer increases. We have tabulated the results of the four different types of nanofluid and graphically presented the behavior of $A l_{2} O_{3}$ and Cu nanofluids. These distinct MHD nanofluids are used to explore the parametric features of heat and mass transfer phenomena along a permeable stretching sheet. The impacts of various physical parameters and physical quantities are analyzed. It is observed that from this study that the heat transfers rate of Cu nanofluid is higher than $A l_{2} O_{3}$ nanofluid. The coupled non-linear equations are solved by semi-analytical technique i.e Differential Transformation Method (DTM) along with Pade-approximation and found to be in well agreement with already reported work in literature. The graphical illustration and tabular results represent the physical importance of the work. It was observed and concluded that the temperature profiles in case of Cu nanofluid presents significantly high as compared with $A l_{2} O_{3}$ nanofluid. Also, the thicknesses of velocity, thermal and concentration profile decreases by increasing suction/injection and unsteady parameter. These parameters used to control the flow rate.

Keywords

MHD nanofluids viscous dissipation stretching sheet

Get full access to this article

View all access options for this article.

References

Choi

Eastman

JA.

Enhancing thermal conductivity of fluids with nanoparticles. In: Proceedings of ASME international mechanical engineering congress and exposition. Vol. 66, San Francisco, USA, 1995, pp.99–105.

Choi

Zhang

, et al. Anomalous thermal conductivity enhancement in nanotube suspensions. Appl Phys Lett 2001; 79: 2252–2254.

Das

Putra

Thiesen

, et al. Temperature dependence of thermal conductivity enhancement for nanofluids. J Heat Transfer 2003; 125: 567–574.

Hamad

MA.

Analytical solution of natural convection flow of a nanofluid over a linearly stretching sheet in the presence of magnetic field. Int Commun Heat Mass Transfer 2011; 38: 487–492.

Kameswaran

Narayana

Sibanda

, et al. Hydromagnetic nanofluid flow due to a stretching or shrinking sheet with viscous dissipation and chemical reaction effects. Int J Heat Mass Transfer 2012; 55: 7587–7595.

Sheikholeslami

Ganji

Ashorynejad

HR.

Investigation of squeezing unsteady nanofluid flow using ADM. Powder Technol 2013; 239: 259–265.

Awad

Sibanda

Khidir

AA.

Thermodiffusion effects on magneto-nanofluid flow over a stretching sheet. Boundary value problems. Math Probl Eng 2013; 136.

Rashidi MM, Momoniat E, Ferdows M, Basiriparsa A. Lie group solution for free convective flow of a nanofluid past a chemically reacting horizontal plate in a porous media. Math Probl in Eng 2014 Dec; 2014.

Yirga

Shankar

MHD flow and heat transfer of nanofluids through a porous media due to a stretching sheet with viscous dissipation and chemical reaction effects. Int J Comput Methods Eng Sci Mech 2015; 16: 275–284.

10.

Reddy

Chamkha

AJ.

Soret and dufour effects on MHD convective flow of Al₂O₃-water and TiO₂-water nanofluids past a stretching sheet in porous media with heat generation/absorption. Adv Powder Technol 2016; 27: 1207–1218.

11.

Pal

Mandal

Vajravalu

Soret and Dufour effects on MHD convective-radiative heat and mass transfer of nanofluids over a vertical non-linear stretching/shrinking sheet. Appl Math Comput 2016; 287–288: 184–200.

12.

Das

Sarkar

Kundu

PK.

Cu-water nanofluid flow induced by a vertical stretching sheet in presence of a magnetic field with convective heat transfer. Propul Power Res 2017; 6: 206–213.

13.

Pandey

Kumar

Chemical reaction and thermal radiation effects on a boundary layer flow of nanofluid over a wedge with viscous and ohmic dissipation. Phys Math 2017; 3: 322–332.

14.

Hussain

Sharma

Seth

, et al. Thermal radiation impact on boundary layer dissipative flow of magneto-nanofluid over an exponentially stretching sheet. IJHT 2018; 36: 1163–1173.

15.

Madaki

Roslan

Rusiman

, et al. Analytical and numerical solutions of squeezing unsteady Cu and TiO₂-nanofluid flow in the presence of thermal radiation and heat generation/absorption. Alexandr Eng J 2018; 57: 1033–1040.

16.

Makinde

Khan

Ahmad

, et al. Numerical study of unsteady hydromagnetic radiating fluid flow past a slippery stretching sheet embedded in a porous medium. Phys Fluid 2018; 30: 083601.

17.

Nayak

Shaw

Makinde

, et al. Investigation of partial slip and viscous dissipation effects on the radiative tangent hyperbolic nanofluid flow past a vertical permeable Riga plate with internal heating: Bungiorno model. J Nanofluid 2019; 8: 51–62.

18.

Elgazery

NS.

Nanofluids flow over a permeable unsteady stretching surface with non-uniform heat source/sink in the presence of inclined magnetic field. J Egypt Math Soc 2019; 27: 1–26.

19.

Thiagarajan

Kumar

MD.

Heat source/sink and chemical reaction effects on MHD and heat transfer flow of radiative nanofluid over a porous exponentially stretching sheet with viscous dissipation and ohmic heating. International Journal of Basic Sciences and Applied Computing 2019; 2(7).

20.

Murugesan

Kumar

MD.

Effects of thermal radiation and heat generation on hydromagnetic flow of nanofluid over an exponentially stretching sheet in a porous medium with viscous dissipation. World Sci News 2019; 128: 130–147.

21.

Anwar

Ali

Rafique

, et al. Soret-Dufour and radiative aspects in hydromagnetized nanofluid flow in stratified porous medium. SN Appl Sci 2019; 1: 1–5.

22.

Mjankwi

Masanja

Mureithi

, et al. Unsteady MHD flow of nanofluid with variable properties over a stretching sheet in the presence of thermal radiation and chemical reaction. Int J Math Math Sci 2019: 1–14.

23.

Venkateswarlu

Bhaskar

Lakshmi

DV.

Soret and Dufour effects on radiative hydromagnetic flow of a chemically reacting fluid over an exponentially accelerated inclined porous plate in presence of heat absorption and viscous dissipation. J Kor Soc Indus Appl Math 2019; 23: 157–178.

24.

Subhani

Nadeem

Numerical analysis of micropolar hybrid nanofluid. Appl Nanosci 2019; 9: 447–459.

25.

Kumar

Reddy

Kumar

, et al. Computational study of unsteady couple stress magnetic nanofluid flow from a stretching sheet with ohmic dissipation. Proc IMechE, Part N: J Nanomaterials, Nanoengineering and Nanosystems 2019; 233: 49–63.

26.

Kumar

Dinesh

Makinde

OD.

Impact of Lorentz force and viscous dissipation on unsteady nanofluid convection flow over an exponentially moving vertical plate. Math Model Comput Simul 2020; 12: 631–646.

27.

Upreti

Pandey

Kumar

, et al. Ohmic heating and non-uniform heat source/sink roles on 3D Darcy-Forchheimer flow of CNTs nanofluids over a stretching surface. Arab J Sci Eng 2020; 45: 7705–7717.

28.

Jabeen

Mushtaq

Akram

RM.

A comparative study of MHD flow analysis in a porous medium by using differential transformation method and variational iteration method. J Contemp Appl Math 2019; 9: 1–5.

29.

Jabeen

Mushtaq

Akram

RM.

Analysis of the MHD boundary layer flow over a nonlinear stretching sheet in a porous medium using semianalytical approaches. Math Probl Eng 2020: 1–9.

30.

Jabeen

Mushtaq

Muntazir

RMA.

Analysis of MHD fluids around a linearly stretching sheet in porous media with thermophoresis, radiation, and chemical reaction. Math Probl Eng 2020: 1–14.

31.

Muntazir

Mushtaq

Shahzadi

, et al. Influence of chemically reacting ferromagnetic carreau nanofluid over a stretched sheet with magnetic dipole and viscous dissipation. Math Probl Eng 2021: 1–12.

32.

Muntazir

Mushtaq

Jabeen

A Numerical study of MHD Carreau nanofluid flow with gyrotactic microorganisms over a plate, wedge and stagnation point. Math Probl Eng 2021; 2021: 1–22.

33.

Eid MR, Mabood F, Mahny KL. On 3D Prandtl nanofluid flow with higher-order chemical reaction. Proceedings of the Institution of Mechanical Engineers, Part C: Mech Eng Sci 2020 Nov 20:0954406220975429.

34.

Al-Hossainy

Eid

MR.

Structure, DFT calculations and heat transfer enhancement in [ZnO/PG + H₂O] C hybrid nanofluid flow as a potential solar cell coolant application in a double-tube. J Mater Sci Mater Electron 2020; 31: 15243–15257.

35.

Eid

Al-Hossainy

AF.

Combined experimental thin film, DFT-TDDFT computational study, flow and heat transfer in [PG-MoS₂/ZrO₂] C hybrid nanofluid. Waves Random Complex Media 2021: 1–26.

36.

Al-Hossainy

Eid

MR.

Combined experimental thin films, TDDFT-DFT theoretical method, and spin effect on [PEG-H₂O/ZrO₂+ MgO] h hybrid nanofluid flow with higher chemical rate. Surf Interf 2021; 23: 100971.

37.

Alaidrous

Eid

MR.

3-D electromagnetic radiative non-Newtonian nanofluid flow with joule heating and higher-order reactions in porous materials. Sci Rep 2020 Sep 3; 10: 1–9.

38.

Ferdows

Shamshuddin

Salawu

, et al. Numerical simulation for the steady nanofluid boundary layer flow over a moving plate with suction and heat generation. SN Appl Sci 2021; 3(2): 1–1.

39.

Eid

Mabood

Two-phase permeable non-Newtonian cross-nanomaterial flow with Arrhenius energy and entropy generation: Darcy-Forchheimer model. Phys Scr 2020; 95: 105209.

40.

Eid

Mabood

Entropy analysis of a hydromagnetic micropolar dusty carbon NTs-kerosene nanofluid with heat generation: Darcy-Forchheimer scheme. J Therm Anal Calorim 2021; 143: 2419–2436.

41.

Venkateswarlu

Narayana

PVS.

Cu-Al₂O₃/H₂O hybrid nanofluid flow past a porous stretching sheet due to temperature-dependent viscosity and viscous dissipation. Heat Transfer 2021; 50: 432–449.

42.

Aladdin

Bachok

Pop

Cu-Al₂O₃/water hybrid nanofluid flow over a permeable moving surface in presence of hydromagnetic and suction effects. Alexandr Eng J 2020; 59: 657–666.

43.

Selvarani

Govindarajan

Comparison of free convective nanofluid flow of Cu-water and Al₂O₃-water. AIP Conf Proc 2019; 2112: 020125.

44.

Abbas

Magdy

MM.

Heat and mass transfer analysis of nanofluid flow based on, and over a moving rotating plate and impact of various nanoparticle shapes. Math Probl Eng 2020: 1–12.

Supplementary Material

Please find the following supplemental material available below.

For Open Access articles published under a Creative Commons License, all supplemental material carries the same license as the article it is associated with.

For non-Open Access articles published, all supplemental material carries a non-exclusive license, and permission requests for re-use of supplemental material or any part of supplemental material shall be sent directly to the copyright owner as specified in the copyright notice associated with the article.

0.00 MB