2020
DOI: 10.3390/sym12061037
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Concrete Based Jeffrey Nanofluid Containing Zinc Oxide Nanostructures: Application in Cement Industry

Abstract: Concrete is a non-Newtonian fluid which is a counterexample of Jeffrey fluid. The flow of Jeffrey fluid is considered containing nanostructures of zinc oxide in this study. The flow of the nanofluid is modeled in terms of partial fractional differential equations via Atangana–Baleanu (AB) fractional derivative approach and then solved using the integral transformation. Specifically, the applications are discussed in the field of concrete and cement industry. The variations in heat transfer rate and skin fricti… Show more

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Cited by 14 publications
(4 citation statements)
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“…Equations (), (), (), (), (), and () represent the solutions of Equations (), (), (), (), (), and () in the transformed variable q . Using the inversion approach, acquire the inverse Laplace transform by [50–52], we get θ()y1,t1badbreak=2t1j=1NReKjθ¯y1,αjt1$$\begin{equation}\theta \left( {{y_1},{t_1}} \right) = \frac{2}{{{t_1}}}\sum_{j = 1}^N {{\mathop{\rm Re}\nolimits} \left\{ {{K_j}\bar \theta \left( {{y_1},\frac{{{\alpha _j}}}{{{t_1}}}} \right)} \right\}} \end{equation}$$ u()y1,t1badbreak=2t1j=1NReKju¯y1,αjt1$$\begin{equation}u\left( {{y_1},{t_1}} \right) = \frac{2}{{{t_1}}}\sum_{j = 1}^N {{\mathop{\rm Re}\nolimits} \left\{ {{K_j}\bar u\left( {{y_1},\frac{{{\alpha _j}}}{{{t_1}}}} \right)} \right\}} \end{equation}$$…”
Section: Mathematical Formulationmentioning
confidence: 99%
See 1 more Smart Citation
“…Equations (), (), (), (), (), and () represent the solutions of Equations (), (), (), (), (), and () in the transformed variable q . Using the inversion approach, acquire the inverse Laplace transform by [50–52], we get θ()y1,t1badbreak=2t1j=1NReKjθ¯y1,αjt1$$\begin{equation}\theta \left( {{y_1},{t_1}} \right) = \frac{2}{{{t_1}}}\sum_{j = 1}^N {{\mathop{\rm Re}\nolimits} \left\{ {{K_j}\bar \theta \left( {{y_1},\frac{{{\alpha _j}}}{{{t_1}}}} \right)} \right\}} \end{equation}$$ u()y1,t1badbreak=2t1j=1NReKju¯y1,αjt1$$\begin{equation}u\left( {{y_1},{t_1}} \right) = \frac{2}{{{t_1}}}\sum_{j = 1}^N {{\mathop{\rm Re}\nolimits} \left\{ {{K_j}\bar u\left( {{y_1},\frac{{{\alpha _j}}}{{{t_1}}}} \right)} \right\}} \end{equation}$$…”
Section: Mathematical Formulationmentioning
confidence: 99%
“…To solve Equations ( 29) and ( 30) by incorporating equation Equations ( 17) and ( 18 19), ( 20), ( 25), ( 26), (31), and (32) represent the solutions of Equations ( 14), ( 15), ( 23), ( 24), (29), and (30) in the transformed variable q. Using the inversion approach, acquire the inverse Laplace transform by [50][51][52], we get…”
Section: Solution Via Caputo Fabrizio Fractional Derivativementioning
confidence: 99%
“…Non-conventional cementitious materials also improve the characteristics of the cement and increase its compressive strength. The ordinary cement compressive strength can also be improved by incorporating nanoparticles [10] in its composition to increase the density of the concrete. The prediction of the compressive strength of these types of concrete is a very important process, as it provides an option to modify the mix proportion in circumstances where the mandatory design strength is not attained, in order to avoid construction failures and substitute successfully the stability offered by Portland cement.…”
Section: Introductionmentioning
confidence: 99%
“…Saidulu et al [13] considered an exponentially slanted sheet for examining the radiation influences on nanofluid flow. For further details about the literature on the flow of nanofluid by considering different geometries, see [14][15][16][17][18][19][20][21][22][23][24]. e behavior of the flow of non-Newtonian fluid is a study of keen interest of scholars and practical significance.…”
Section: Introductionmentioning
confidence: 99%