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The purpose of this paper is to find analytic approximate solutions for time-dependent flow and heat transfer of a Sisko fluid.

The homotopy analysis method is used to find a family of travelling wave solutions of the governing non-linear problem.

The effects of different parameters on the velocity and temperature profiles are shown graphically.

The analytic solutions of the system of non-linear ordinary differential equations are constructed in the series form for various values of the power index.

Many studies have examined the use of social media by either customers or firms, especially in developed markets. However, little is known about why young individual entrepreneurs use digital channels (DCs) as business platforms in emerging markets (EMs) and how they integrate them into their marketing activities. This paper aims to try filling this gap.

Given the exploratory nature of this research, the authors employ a qualitative approach based on a focus group (12 participants) and semi-structured interviews (8 participants) with young entrepreneurs in Saudi Arabia. The authors adopted a deductive thematic analysis based on pre-determined theoretical frameworks to analyse and interpret the data.

The authors found that the young entrepreneurs mainly used Instagram, Snapchat and, to a moderate extent, YouTube as digital marketing channels for advertising purposes. However, they used WhatsApp for establishing direct contact and personalising communication with customers. The entrepreneurs used these channels because they are useful, easy to use, cost-effective, fun and widely used by local customers. The authors also found that the entrepreneurs used social media and offline channels conjointly in three main marketing activities (communication/promotion, transactions and customer service) to boost the customer purchasing process. The complementarity of social media and offline channels was found to improve brand visibility, enlarge markets and strengthen the customer relationship. However, the achievement of these benefits varied across small firms depending on the entrepreneurs' abilities in coordinating multiple channels and according to the distinctiveness of their businesses.

This study contributes to the entrepreneurial literature by extending the unified theory of acceptance and use of technology (UTAUT) to explain the motives behind the use of DCs amongst individual entrepreneurs. Furthermore, this paper proposes a novel theoretical framework for studying the interaction between online and offline marketing channels during the purchasing process. Through this framework, the study provides new insights into channel coordination and multi-channel customer behaviours from the entrepreneur's perspective.

This study helps understand why small firms use different DCs. Likewise, it shows how young entrepreneurs coordinate online/offline channels in a complementary manner. The findings could also help in designing appropriate programmes encouraging young entrepreneurs to use online channels and social media to enhance their business activities.

This study offers a novel attempt at explaining the use of DCs and their interaction with traditional channels from the entrepreneur's perspective and brings new insights to why and how young entrepreneurs use DCs in an emerging market.