Significance of chemical reaction and viscous dissipation on magnetized-Marangoni convective flow of dusty Casson hybrid (AA7072+AA7075/sodium alginate) nanofluid with Soret and Dufour effects

ABSTRACT

In the current study, mass and heat transfer flow of radiated Casson hybrid nanofluid with nanoparticles and dust deferment over sheet are explored. The Soret and Dufour effects, activation energy and microorganisms in the hybrid nanofluid model are described. Marangoni convection, a prominent occurrence in microgravity caused by surface tension gradients. It can be used for many different things, such as the creation of molten crystals, thin-film diffusion, the generation of vapour bubbles during nucleation, and semiconductor manufacturing. In sodium alginate, we wondered about the aluminium alloys AA7072 and AA7075. The aluminium alloys included in this study are specially made materials with improved heat transmission characteristics. aluminium and zinc are combined in AA7072 alloy in the ratios of 98 & 1, respectively, with the addition of silicon, ferrous metals, and copper. Similarly, AA7075 is a blend of aluminium, magnesium, zinc, and copper in the proportions of ~ 90, ~3, ~6, and ~ 1, respectively, with silicon ferrous and magnesium as additional metals. The controlling PDEs are transformed into nonlinear ODEs with the aid of a new set of similarity variables. These ODEs are then numerically solved using the RKF-45th method. The findings show that when the Marangoni convection parameter increases, the concentration, temperature, and microbiological characteristics drop while the velocity profile increases for both the dust and fluid phases.

GRAPHICAL ABSTRACT

KEYWORDS:

• Dusty Casson hybrid nanofluid
• Soret and Dufour effect
• Marangoni convection
• chemical reaction
• gyrotactic microorganisms; viscous dissipation

Acknowledgments

José Francisco Gómez Aguilar acknowledges the support provided by SNI-CONAHCyT.

Disclosure statement

No potential conflict of interest was reported by the author(s).

Future work

Future research should improve on this finding by including activation energy, convective circumstances, Soret and Dufour effects, and tetra hybrid nanoparticles. It has the potential to improve chemical reaction processes, optimize microorganism movement to revolutionize environmental bioremediation, boost targeted drug delivery in the biomedical fields, and improve renewable energy through highly effective solar thermal systems. These applications rely on an understanding of complex fluid dynamics, heat transfer, and biological interactions and offer unique solutions across a wide range of scientific and technical sectors.

Nomenclature

$\left(\mathit{x},\mathit{y}\right)$	=	Cartesian coordinates $\left(\mathit{m}\right)$
$\mathit{We}$	=	Weissenberg number
$\mathit{C}$	=	fluid phase concentration
${\beta }_m$	=	Fluid-particle interaction parameter for bio-convection
$\mathit{N}$	=	Density of motile microorganism$\left(\mathit{kg}{m}^{-3}\right)$
$q_r$	=	Radiative heat flux $(\mathit{kW}/m^2$)
${\beta }_c$	=	fluid-particle interaction for concentration
$\left(\mathit{u},\mathit{v}\right)$	=	Velocity fields of fluid$\left(\mathit{m}.s^{-1}\right)$
$k_f$	=	Thermal conductivity $\left(\mathit{W}{m}^{-1}{k}^{-1}\right)$
$D_n$	=	Diffusivity of microorganisms$\left(m^2{s}^{-1}\right)$
$C_p$	=	Particle phase Concentration
${\tau }_v$	=	Relaxation time of the dust particles
$N_p$	=	Density particle phase$\left(\mathit{kg}{m}^{-3}\right)$
$D_m$	=	Mass diffusivity coefficient$\left(m^2{s}^{-1}\right)$
$\mathit{L}$	=	Reference length$\left(\mathit{m}\right)$
$r_P$	=	Radius of (dust particles$)\left(\mathit{nm}\right)$
$\mathit{K}=6\mathit{\pi \mu r}$	=	The coefficient of drag stokes
$\mathit{Le}$	=	Lewis number
$C_p$	=	Specific heat $\left(\mathit{Jk}{g}^{-1}{k}^{-1}\right)$
$\mathrm{\Psi }\left(\mathit{x},\mathit{y}\right)$	=	Streams functions of dust phase
$\mathit{Lb}$	=	Bio-convection Lewis number
${\epsilon }_1$	=	Variable viscosity parameter
$B_0$U	=	uniform magnetic field$\left(\mathit{kg}{s}^{-2}{A}^{-1}\right)$
$q_w$	=	Heat flux$\left(\mathit{W}/m^2\right)$
$\mathit{Ec}$	=	Eckert number
$q_{\mathrm{m}}$M	=	ass flux $(\mathit{kg}{m}^2{s}^{-1}$)
$\mathit{Rd}$	=	Radiation parameter
$k^{\ast }$	=	Mean absorption coefficient$\left(\mathit{c}{m}^{-1}\right)$
$C_{\mathit{fx}}$	=	Skin friction
$\mathrm{S}{\mathrm{h}}_x$S	=	Sherwood number
$\mathrm{Rc}$C	=	chemical reaction parameter
$\mathrm{N}{\mathrm{u}}_x$N	=	nusselt number
$\mathrm{Du}$D	=	Dufour number
$\mathit{\beta }$	=	Casson fluid parameter
$\mathit{Pr}$P	=	prandtl number
$\mathit{T}$	=	Fluid temperature $\left(\mathit{k}\right)$
${\tau }_m$	=	Time required by the motile organisms
${\nu }_f$K	=	kinematic viscosity $\left(m^2{s}^{-1}\right)$
$\mathit{M}$	=	Magnetic parameter
$\mathit{Ec}$	=	Eckert number
$W_c$	=	Maximum cell swimming speed
${\sigma }_0$	=	Surface tension
$\mathit{\gamma }$	=	Specific heat ratio
${\rho }_P$	=	Particle density
$\left(u_p,v_p\right)$V	=	velocity fields of particle phase$\left(\mathit{m}.s^{-1}\right)$
$\mathrm{Pe}$	=	Bioconvection Peclet number
${\tau }_T$	=	Thermal relaxation time
${\tau }_v$	=	Momentum relaxation time
$N^{\ast }$D	=	dimensions of dust particle density
$T_P$P	=	article temperature$\left(\mathit{k}\right)$
${\epsilon }_2$	=	Variable thermal conductivity parameter
$\mathrm{N}{\mathrm{n}}_x$L	=	ocal density of motile microorganisms
$\mathrm{\Omega }$M	=	microorganisms concentration difference parameter
$\mathit{r}$	=	Radius of the dust particle
$C_m$S	=	specific heat of the dust particle
${\epsilon }_3$	=	Variable mass diffusivity parameter
${\rho }_f$	=	Fluid density$\left(\mathit{kg}/m^3\right)$
$\mathit{\sigma }$	=	Surface tension $\left(\mathit{N}/\mathit{m}\right)$
${\beta }_T$T	=	thermal dust parameter
$\mathit{\psi }\left(\mathit{x},\mathit{y}\right)$S	=	stream functions of fluid phase$\mathit{\hspace{0.17em}}$
${\tau }_w$	=	Surface shear stress
${\beta }_v$F	=	fluid-particle interaction parameter
$\mathit{Ma}$M	=	Marangoni ratio parameter
${\gamma }_T$	=	Surface tension coefficients for temperature$\mathit{N}/\mathit{m}$
${\sigma }^{\ast }$S	=	Stefan-Boltzmann constant$\left(\mathit{W}/m^2{k}^4\right)$
${\gamma }_{\mathrm{C}}$S	=	surface tension coefficients for concentration
${\sigma }_f$E	=	electrical Conductivity$\left(\mathit{s}{m}^{-1}\right)$
${\mu }_f$D	=	dynamic viscosity $\left(\mathit{kg}{m}^{-1}{s}^{-1}\right)$
$\mathrm{Sr}$	=	Soret number
$k_r$	=	Reaction rate
$\mathit{Rc}$	=	Reaction parameter

Additional information

Notes on contributors

Munawar Abbas

Dr. Munawar Abbas Currently doing job in the Islamia university. His main expertise is in nanofluids and its applications.

Ansar Abbas

Ansar Abbas Currently doing job in the Gomal University. His main expertise is in convective flows and its applications.

Humaira Kanwal

Humaira Kanwal: Currently doing job in the Islamia university. His main expertise is in convective flows and nanofluids.

J.F. Gómez-Aguilar

J. F. Gómez-Aguilar He has published a large number of papers in convective flows and its applications, and mathematical modeling.

J. Torres-Jiménez

J. Torres-Jiménez Currently doing job in the Instituto Tecnológico Superior de Huauchinango. His main expertise is in convective flows and its applications, and nanofluids.