Magento – How to get attributes by attribute set ID in Magento 2

Since no one answered my question, I tried a bit of workaround and this was what I came up with and actually worked my purpose. Hope it helps for anyone with the same issue later.

public function getSpecificAttributes($product) {
    //to get ids of all the attributes in the default attribute set
    $entityTypeId = Mage::getModel('eav/entity')
            ->setType('catalog_product')
            ->getTypeId();
    $attributeSetName = 'Default';
    $defaultAttributeSetId = Mage::getModel('eav/entity_attribute_set')
            ->getCollection()
            ->setEntityTypeFilter($entityTypeId)
            ->addFieldToFilter('attribute_set_name', $attributeSetName)
            ->getFirstItem()
            ->getAttributeSetId();

    $defaultAttributes = Mage::getModel('catalog/product_attribute_api')->items($defaultAttributeSetId);
    $defaultAttributeCodes = array();
    foreach ($defaultAttributes as $attributes) {
        $defaultAttributeCodes[] = $attributes['code'];
    }

    //get ids of all the attributes in the attribute set specific to the current product
    $attributeSetId = $product->getAttributeSetId();
    $specificAttributes = Mage::getModel('catalog/product_attribute_api')->items($attributeSetId);
    $attributeCodes = array();
    foreach ($specificAttributes as $attributes) {
        $attributeCodes[] = $attributes['code'];
    }

    $currentAttributes = array_diff($attributeCodes, $defaultAttributeCodes);
    return $currentAttributes;
}

Please use below code,

$setId = 10; // Attribute set Id
        $groups = Mage::getModel('eav/entity_attribute_group')
            ->getResourceCollection()
            ->setAttributeSetFilter($setId)
            ->setSortOrder()
            ->load();

        $attributeCodes = array();
        foreach ($groups as $group) {
            $groupName          = $group->getAttributeGroupName();
            $groupId            = $group->getAttributeGroupId();

            $attributes = Mage::getResourceModel('catalog/product_attribute_collection')
                ->setAttributeGroupFilter($group->getId())
                ->addVisibleFilter()
                ->checkConfigurableProducts()
                ->load();
                if ($attributes->getSize() > 0) {
                    foreach ($attributes->getItems() as $attribute) {
                        /* @var $child Mage_Eav_Model_Entity_Attribute */
                        $attributeCodes[] = $attribute->getAttributeCode();                     
                    }
                } 

        }
        print_r($attributeCodes);