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Significance of aluminium alloys particle flow through a parallel plates with activation energy and chemical reaction

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Abstract

The paper communicates the flow, heat and mass transfer of a hybrid nanofluid (AA7072–AA7075/water) between the parallel plates, by incorporating chemical reactions, activation energy and heat source/sink effects. The governing partial differential equations are upgraded to ordinary differential equations by selecting relevant dimensionless variables and then are numerically resolved. Validation of the problem is confirmed between the present and existing work for the limiting cases and is found to be excellent concord. Moreover, the graphs are displayed to discuss the flow, heat and mass transport, friction drag, rate of heat and mass coefficient behaviour for different implanted parameters. It is noted that larger chemical reaction values minimize the concentration curve, while activation energy has the opposite pattern. Furthermore, upsurge values of heat source/sink parameter improve the rate of heat transport, but solid volume fraction reduces the drag friction. Also it has been discovered that AA7072–AA7075/water is a more efficient liquid than AA7072/water. Moving pistons, chocolate fillers, power transfer and compression are all examples of areas where the current research may be useful.

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Abbreviations

\(C\,\left( {{\text{mol}}\;{\text{m}}^{{ - 3}} } \right)\) :

Concentration

\(C_{{\text{f}}} \,\left( - \right)\) :

Skin friction coefficient

\(C_{H} \left( {{\text{mol}}\;{\text{m}}^{{ - 3}} } \right)\) :

Concentration at plate surface

\(c_{{\text{p}}} \,\left( {{\text{Jkg}}^{{ - 1}} {\text{K}}^{{ - 1}} } \right)\) :

Specific heat capacity

\(C_{{\text{W}}} \,\left( {{\text{mol}}\;{\text{m}}^{{ - 3}} } \right)\) :

Concentration at the wall

\(D\,\,\left( {{\text{m}}^{2} {\text{s}}^{{ - 1}} } \right)\) :

Diffusion coefficient

\(E\,\left( - \right)\) :

Activation energy parameter

\(E_{{\text{a}}} \,\left( - \right)\) :

Activation energy

\({\text{Hs}}\,\left( - \right)\) :

Heat source/sink parameter

\(k\,\,\left( {{\text{Wm}}^{{ - 1}} {\text{K}}^{{ - 1}} } \right)\) :

Thermal conductivity

\(k_{{\text{r}}} \,\left( - \right)\) :

Reaction rate

\(K\,\left( - \right)\) :

Boltzmann constant

\(n\,\left( - \right)\) :

Fitted rate constant

\({\text{Nu}}\,\left( - \right)\) :

Nusselt number

\(p\,\left( {{\text{Pa}}} \right)\) :

Pressure

\(\Pr \,\left( - \right)\) :

Prandtl number

\(Q\,\,\left( {{\text{Kgm}}^{{ - 1}} {\text{s}}^{{ - 3}} {\text{K}}^{{ - 1}} } \right)\) :

Uniform heat source/sink

\({\text{Rc}}\,\left( - \right)\) :

Reaction rate parameter

\({\text{Sc}}\,\left( - \right)\) :

Schmidt number

\({\text{Sh}}\,\left( - \right)\) :

Sherwood number

\(t\,\left( s \right)\) :

Time

\(T\,\left( K \right)\) :

Fluid temperature

\(T_{{\text{H}}} \,\left( K \right)\) :

Temperature of plate

\(T_{{\text{W}}} \,\left( K \right)\) :

Temperature at the wall

\(u,v\,\,\left( {{\text{ms}}^{{ - 1}} } \right)\) :

Velocity components

\(x,y\,\left( m \right)\) :

Cartesian coordinates

\(\rho \,\,\left( {{\text{kgm}}^{{ - 3}} } \right)\) :

Density

\(\phi \,\left( - \right)\) :

Solid volume fraction

\(\alpha \,\left( {s^{{ - 1}} } \right)\) :

Squeezing rate

\(\mu \,\,\left( {{\text{kgm}}^{{ - 1}} {\text{s}}^{{ - 1}} } \right)\) :

Dynamic viscosity

\(\eta \,\left( - \right)\) :

Similarity variable

\(\delta \,\left( K \right)\) :

Temperature difference parameter

\(f\,\,\,\) :

Fluid

\({\text{nf}}\,\,\) :

Nanofluid

\({\text{hnf}}\,\,\) :

Hybrid nanofluid

\(\phi _{1} ,\;\phi _{2}\) :

Solid volume fraction of \({\text{AA}}7072\) and \({\text{AA}}7075\).

\(s_{1}\) :

Solid nanoparticle \({\text{AA}}7072\)

\(s_{2}\) :

Solid nanoparticle \({\text{AA}}7075\)

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Acknowledgements

The authors are thankful to the editor and referee for their encouraging comments and constructive suggestions to improve the presentation of this manuscript.

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Authors and Affiliations

  1. Department of Mathematics, K.L.E. Society’s J.T. College, Gadag, Karnataka, 582101, India

    G. K. Ramesh

  2. Department of Mathematics, Davangere University, Davangere, Karnataka, 577002, India

    J. K. Madhukesh & B. C. Prasannakumara

  3. Department of Mathematics, Malnad College of Engineering, Hassan, Karnataka, 573202, India

    G. S. Roopa

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Ramesh, G.K., Madhukesh, J.K., Prasannakumara, B.C. et al. Significance of aluminium alloys particle flow through a parallel plates with activation energy and chemical reaction. J Therm Anal Calorim 147, 6971–6981 (2022). https://doi.org/10.1007/s10973-021-10981-2

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