**Design/methodology/approach**: In this work we have presented a theoretical study to a mixture of synovial and blood nanofluid with heat distribution, concentration and volume fraction effects through concentric tube when the outer tube contain stenosis. Two models of synovial fluid that depend on viscosity are debated, in model I the viscosity depend exponentially on the concentration while model II shear tensor is considered as a function of concentration. The mathematical model has been studied in cylindrical coordinates. The solution of mathematical model was also obtained numerically using finite difference method after using a domain transformation to transform the variable cross-section of the concentric tube to a uniform cross section. We approaches to the synovial fluid improves the velocity of blood in the areas of atherosclerosis due to the nature of synovial fluid, which has less friction forces. Also, the velocity of mixture blood and synovial for model I is higher than that for model II.

**Realistic implications:** This problem with synovial lining is called synovitis.

**Originality/value:** To the authors’ information, no such research has been performed in the literature

The study of incompressible steady Williamson fluid flow is conducted in a curvilinear coordinate system. The flow is bounded below through curves stretchable sheet. Linear thermal radiation effects are considered to observe the heat flow in the system. The model was designed as an application to solar energy in thermal engineering processes. Employing suitable similarity transformations, a set of partial differential equations obtained from the flow situations are converted into a system of non-linear coupled ordinary differential equations. The subsequent equations are elucidated numerically via Runge-Kutta-4 along with the shooting algorithm. The outcomes for different flow properties are displayed and discussed both graphically and numerically. The observations shows that the curvature parameter reduces both velocity and temperature. Radiation parameter boosts the temperature of the fluid but reduces the local Nusselt number. Williamson fluid parameter has a reverse impact on velocity field but it works as a provoking agent for the case of thermal profile. The visual effects in the form of streamlines and isotherms are also presented for different Reynolds number.

]]>The purpose of this paper is to study the variable magnetic field and endoscope effects on peristaltic blood flow of nanofluid containing TiO2 nanoparticles (NPs) through a porous annulus. The Prandtl fluid model is taken into account for the present flow. The mathematical modelling comprises the temperature, continuity, NP concentration, and equations of motion which are further simplified by taking a long peristaltic wave and creeping flow regime.

After using the long wavelength approximation, the obtained highly non-linear partial differential equations are solved using the homotopy perturbation scheme. The inclusion of the pertinent parameters is discussed mathematically and graphically for the pressure rise, friction forces, temperature profile, and concentration profile. The trapping phenomenon is also investigated with the help of contours.

Results show that the maximum velocity distribution exists near the centre of the annulus, whereas the average time flow boosts the velocity profile. It has also been shown that flow can pass readily without enormous pressure gradient imposed on the endoscope tube unlike the case of the slim section of the problem.

The nanofluids containing titanium NPs are increasingly utilised since such type of NPs is used by several manufacturers in sunscreen blockers and different types of endoscopy. In endoscopy, the variable magnetic field is used at the tip in order to detect or treat diseases. The NPs are used since they acquire specific thermal properties as compared with base fluids. The present study provides qualitative results showing the effect of inner tube of annulus on the fluid flow, the effect of variable magnetic field, and the change in the temperature profile on the flow field.

A new model is introduced that shows the utmost pressure that works against the positive peristaltic pump. It studies the blood flow that results in extremely non-linear partial differential equations that are solved by the homotopy perturbation method. The titanium NPs are being used in blocking the rays that penetrate the epidermis causing skin burns and short ultraviolet ageing rays that cause visible wrinkles, and thus are used in the manufacturing of sunscreens that are partially absorbed through the skin.

]]>The purpose of this paper is to examine the impact of women as human capital on sustainable development in the Egyptian community factories. Presently, sustainability has become one of the targets all over the world , especially the Egyptian strategy that focuses more on women’s empowerment as human capital. There is a positive trend among organizations, governments and communities to focus more on the lead of sustainability in all our daily activities and business activities.

Self-administered questionnaires were distributed to gather data from 100 engineers (50 women and 50 men) employees of Egyptian factories and industries located in Egypt. To analyze, the collected data, regression analysis and correlation coefficient were employed to examine the study objectives and questions. A statistical Package for Social Sciences has been used for data analysis.

Results reveal that there is a direct positive relationship between women as a capital and sustainable development with its four interrelated pillars (economic, social, environmental and education) in a positive and significant way and the three factors of Human Capital (leadership and motivation, qualifications and satisfaction and creativity).

The findings only apply to the sample (engineering women, men) that has participated in the questionnaire in the Egyptian factories. More research would be recommended in terms of further research study, highlighting the role of women in other categories in the STEM field as they are the human capital crucial for sustainable development and highlighting its impact on the Egyptian sustainable strategy 2030.

Although the Egyptian strategy reinforces gender equality and gaining more roles for women in the Egyptian community, there is still absence of women in factories and science. Based on the findings, there are three concerns that must be addressed: First, opportunities need to be embedded in the factories for more women, especially in engineering categories. Second, authorities must encourage human capital development for women. Third, there is a strong need to create responsible leadership between all human capitals which are especially important in areas of industry.

Egyptian factories need to support women’s enthusiasm for innovation, continuously advance science and engineering, foster a business environment that fosters the coexistence of science and technology, the economy and society, support enterprise transformation and optimize the industrial structure of Egyptian industry. Simultaneously, it should encourage and promote the transformation of female achievements and strengthen the role of women leadership enterprises in Egyptian society. In order to promote the ideas of women, more money must be spent on scientific research, human capital must be allocated more effectively and fresh momentum for sustainable economic growth must be generated. It must expand training investment, encourage high-quality human capital and remove the bottleneck.

This paper is unique in presenting women as human capital in Egyptian society and reflects its impact on sustainable development pillars. Although much literature and study is dealing with the two topics of human capital and sustainable development separately or with links to other topics, they have not been dealt with together and there is a scarcity in the literature related to these topics focusing on women separately.

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