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This work aims to focus on the study of natural convection heat transfer characteristics in a vertical wall embedded in a non-Darcy porous medium filled with nanofluids.

The governed partial differential equations are transformed into ordinary differential equations which are obtained by similarity solution and then have been solved through homotopy analysis method.

The results show that Cu-water as nanofluid enhances the local Nusselt number more than other nanofluids.

Nanoparticles and nanofluid enhance the local Nusselt number.

Investigating the import of pharmaceutical products, as one of the essential goods of the country to improve health and medical conditions, is important in accelerating the economic growth and enhancing the welfare of the community. This paper aims to estimate the income and price elasticity of pharmaceutical import demand in Iran.

In this research, the function of Iran's pharmaceutical import demand was estimated and calculated using the co-integration method and error correction techniques with the seasonal data of 2005–2016 to identify factors related to import, as well as relevant price, and income elasticity.

The research results showed that the price elasticity of Iran's long-term pharmaceutical import demand was 0.04; that is, the rate of pharmaceutical import demanded by Iran was not sensitive to change in relative price. Additionally, the long-term income elasticity of Iran's pharmaceutical demand was 0.69, meaning that an increase in Iran's income did not have a highly positive impact on the volume of Iran's pharmaceutical import.

Estimating the function of the demand for pharmaceutical import may pave the way to adopt appropriate economic policies. Furthermore, estimating this function and calculating income and price elasticity is a step toward minimizing government expenditures and can be a great contribution in designing trade policies.

The purpose of this paper is to explore the relationship between effective strategies to improve the quality and quality management of allocated resources for the successful implementation of the strategies. For this purpose, three quality management resources (human, organizational and technological) and eight different strategies related to quality are considered.

The paper employs the fuzzy analytic network process (FANP) to prioritize and model the interactions between eight strategies, the three types of resources (human, organizational and technological) needed for effective strategy implementation and the ability to enhance quality. Then, Goal Programming (GP) is formulated by the output of the FANP to identify the extent to which each single strategy is inhibited by a lack of (or overloaded by) resources.

The first three priorities of strategies identified by the FANP include continuous management of quality system, continuous use of human knowledge and continuous approach toward target, and the order of resources is as follows: human resources, organizational resources and technological resources. The results obtained showed the largest share of human resources and its crucial role in improving the quality of the products. The contribution of organizational resources amounts to half of the contribution of human resources.

The main contribution of this paper is to employ the FANP to prioritize, whereas in prior studies in this area, priorities were conducted as definitive, and uncertainty in the opinion of experts was not considered. In this paper, the FANP–GP combined method is used.