### Chemically Reacting MHD Dusty Nanofluid Flow over a Vertical Cone with Non-Uniform Heat Source/Sink

#### Abstract

This paper comprehensively analyzes the momentum, heat and mass transfer behavior of a chemically reacting magnetohydrodynamic (MHD) nanofluid flow embedded with conducting dust particles past a cone in the presence of non-uniform heat source/sink, volume fractions of dust, and nanoparticles. We consider Cu-water and Al_{2}O_{3}-water nanofluids embedded with conducting dust particles for this study. The governing partial differential equations of the flow, heat, and mass transfer are transformed into nonlinear ordinary differential equations by using self similarity transformations, which are further solved numerically using the Runge-Kutta based Newton’s method. The effects of various non-dimensional governing parameters on velocity, temperature, and concentration profiles are discussed with the help of graphs. Furthermore, the effects of these parameters on skin friction coefficient, Nusselt numbers, and Sherwood numbers are also discussed and presented through tables. Moreover, it is found that an increase in the mass concentration of dust particles depreciates the velocity profiles of fluid and dust phases. It is also found that an increase in fluid particle interaction enhances the thermal conductivity of the flow.

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H Masuda, A Ebata, K Teramae and N Hishinuma. Alteration of thermal conductivity and viscosity of liquid by dispersing ultra-fine particles. Nets. Buss. 1993; 7, 227-33.

MS Liu, MC Chang Len, IT Huang and CC Wang. Enhancement of thermal conductivity with carbon nanotube for nanofluids. Int. Comm. Heat Mass Trans. 2005; 32, 1202-10.

W Yu, H Xie, L Chen and Y Li. Enhancement of thermal conductivity of kerosene-based Fe3O4 nanofluids via phase- transfer method. Coll. Surf. A: Physico. Eng. Asp. 2010; 355, 109-13.

MP Beck, Y Yuan, P Warrier and AS Teja. The effect of particle size on the thermal conductivity of alumina nanofluid. J. Nanopart. Res. 2009; 11, 1129-36.

FG Awad, P Sibanda and AA Khidir. Thermo diffusion effects on magneto-nanofluid flow over a stretching sheet. Bound. Val. Prob. 2013; 136, 1-13.

CSK Raju, N Sandeep, C Sulochana, V Sugunamma and M Jayachandra Babu. Radiation, inclined magnetic field and cross diffusion effects on flow over a stretching surface. J. Nig. Math. Soc. 2015; 34, 169-80.

JV Ramana Reddy, V Sugunamma, P Mohan Krishna and N Sandeep. Aligned magnetic field, radiation and chemical reaction effects on unsteady dusty viscous flow with heat generation/ absorption. Chem. Proc. Eng. Res. 2014; 27, 37-53.

BJ Gireesha, GS Roopa, HJ Lokesh and CS Bajewadi. MHD flow and heat transfer of a dusty fluid over a stretching sheet. Int. J. Phys. Math. Sci. 2012; 3, 171-82.

N Sandeep and V Sugunamma. Radiation and inclined magnetic field effects on unsteady hydro magnetic free convection flow past an impulsively moving vertical plate in a porous medium. J. Appl. Fluid Mech. 2014; 7, 275-86.

GS Seth, R Sharma and S Sarkar. Natural convection heat and mass transfer flow with hall current, rotation radiation and heat absorption past an accelerated moving vertical plate with ramped temperature. J. Appl. Fluid Mech. 2015; 8, 7-20.

P Mohan Krishna, N Sandeep and V Sugunamma. Effects of radiation and chemical reaction on MHD convective flow over a permeable stretching surface with suction and heat generation. Walailak. J. Sci. & Tech. 2015; 12, 831-47.

NA Abu Bakar, K Zaimi and RA Hamid. MHD boundary layer flow of a Maxwell nanofluid over a permeable vertical surface. AIP Conf. Proc. 2014; 1605, 422-7.

K Vajravelu, KV Prasad, J Lee, C Lee, I Pop and RA Van Gorder. Convective heat transfer in the flow of viscous Ag-water and Cu-water nanofluids over a stretching surface. Int. J. Therm. Sci. 2011; 50, 843-51.

T Hayat, S Asad and A Alsaedi. Analysis for flow of Jeffrey fluid with nanoparticles. Chin. Phys. B. 2015; 24, 044702.

S Roy, P Datta, R Ravindran and E Momoniat. Non-uniform double slot injection (suction) on a forced flow over a slender cylinder. Int. J. Heat Mass Tran. 2007; 50, 3190-94.

R Ravindran, M Ganapathi Rao and I Pop. Effects of chemical reaction and heat generation/absorption on unsteady mixed convection MHD flow over a vertical cone with non-uniform slot mass transfer. Int. J. Heat Mass Tran. 2014; 73, 743-51.

NA Khan and F Sultan. On the double diffusive convection flow of eyring-powell fluid due to cone through a porous medium with soret and dufour effects. AIP Adv. 2015; 5, 057140.

M Awais, T Hayat, S Irum and A Alsedi. Heat generation/absorption effects in a boundary layer stretched flow of maxwell nanofluid: Analytic and numeric solutions. PloS One 2015; 10, e0129814.

T Hayat, T Hussain, SA Shehzad and A Alsaedi. Flow of Oldroid B-fluid with nano particles and thermal radiation. Appl. Math. Mech. 2015; 36, 69-90.

S Nadeem and S Saleem. Series solution of unsteady Eyring powell nanofluid flow on a rotating cone. Ind. J. Pure Appl. Phys. 2014; 52, 725-37.

B Vasu and K Manish. Transient boundary layer laminar free convective flow of a nanofluid over a vertical cone/plate. Ind. J. Appl. Comput. Math. 2015; 1, 427-48.

GK Ramesh. Numerical study of the influence of heat source on stagnation point flow towards a stretching surface of a jeffery nanoliquid. J. Eng. 2015; 2015, 382061.

RSR Gorla, BJ Gireesha and B Singh. MHD flow and heat transfer of dusty nanofluid embedded in porous medium over an exponentially stretching sheet. J. Nanofluids 2015; 4, 1-12.

N Sandeep and C Sulochana. MHD flow of dusty nanofluid over a stretching surface with volume fraction of dust particles. Ain Shams Eng. J. 2016; 7, 709-16.

D Pal. Combined effects of non-uniform heat source/sink and thermal radiation on heat transfer over an unsteady stretching permeable surface. Commun. Nonlinear Sci. Numer. Simulat. 2011; 16, 1890-904.

K Das. Flow and heat transfer characteristics of a nanofluids in a rotating frame. Alex. Eng. J. 2014; 53, 757-66.

B Mallikarjuna, AM Rashad, AJ Chamka and SHP Raju. Chemical reaction effects on MHD convective heat and mass transfer flow past a rotating vertical cone embedded in a variable porosity regime. Afr. Mat. 2016; 27, 645-65.

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**Last updated:**17 May 2019